pleaseeeee pleaseeee helppppppppp
Given:
The two vectors are:
[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]
[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]
To find:
The value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex].
Solution:
We have,
[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]
[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]
The cross product of these two vectors is:
[tex]\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}[/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)][/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1][/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}[/tex]
Now the magnitude of the cross product is:
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}[/tex]
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}[/tex]
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}[/tex]
Therefore, the value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex] is [tex]\sqrt{110}[/tex].
Find PQ!!!!!!!!!!!!!!!!!!!!!!!
A portrait without its frame has a height two times it’s width (w) The width of the frame is 3 inches on all sides. What is the area of the portrait and the frame? simplify your answer
Answer:I'm guessing 9×6? 54?
Step-by-step explanation:
The length and breadth of a rectangular ground is 30 m and 20 m respectively.A boy moves around the ground 5 times early morning everyday.Find the distance covered by him?
Answer:
500m
Step-by-step explanation:
a rectangle has 4 sides, so 30=60 and 20=40
60x5=300
40x5=200
300+200=500
500m
reason of 500
The main reason for this is he ran AROUND the rectangle and did it 5 TIMES, doing it once would be 100m.
What is the value of the expression 6c^2 - 5d + 8, when c=5 and d=4?
Answer:
138
Step-by-step explanation:
6c^2- 5d +8
6(5)^2- 5(4) + 8
6(25) - 5(4) + 8
150 - 5(4) +8
150 - 20 + 8
130 + 8
138
After applying the distributive property to the expression 8(12-4) and then multiplying what will be the first term in the resulting subtraction expression
Answer:
The first term in the resulting subtraction expression is 96.
Step-by-step explanation:
Given - After applying the distributive property to the expression 8(12-4) and then multiplying
To find - What will be the first term in the resulting subtraction expression ?
Proof -
Given the expression is -
8( 12 - 4) = 8(12) - 8(4)
= 96 - 32
⇒8( 12 - 4) = 96 - 32
So,
The first term in the resulting subtraction expression is 96.
1. Write the equation of a line through the points (-4,7) and (-6,2). 2. Write the equation of a line through the points (2,-9) and (2,6) 3. Write the equation of the line perpendicular to the line in #1 with the same x-intercept
Answer:
Step-by-step explanation:
1. Write the equation of a line through the points (-4,7) and (-6,2). 2. Write the equation of a line through the points (2,-9) and (2,6) 3. Write the equation of the line perpendicular to the line in #1 with the same x-intercept
Solve for p. −4.5 + p6= −18.9
Answer:
-2.4
Step-by-step explanation:
Given data
We have the expression before us as
−4.5 + p6= −18.9
Collect like terms
p6= −18.9+4.5
p6= -14.4
Divide both sides by 6
p= -14.4/6
p=-2.4
Hence the value of p= -2.4
Answer:
That one answer you see below is wrong
Step-by-step explanation:
Thats it
can someone please help me
Answer:
y - 4 = 3(x-3)
Step-by-step explanation:
7-4 pls help pleasssssssssssssssse
Answer:
for what subject?
geometry
trig
algebra
Answer:
I think it's 3 but maybe ask your teacher to check :o
Step-by-step explanation:
In 9.8326, in which place is the 6?
Answer:
the ten thousands place
Step-by-step explanation:
uh no explanation too straight forward.
Answer:
the ten-thousandths place
Step-by-step explanation:
i just need help finding y thank you
Answer:
x=9.43mm
Step-by-step explanation:
H= A/C
H=9.15/cos(14)=9.43mm
Answer:
9.43
Step-by-step explanation:
If x = 2.28
pythagoras theory that a^2 + b^2 = c^2
so 9.15^2 + 2.28^2 = 88.920
[tex]\sqrt88.920[/tex]=9.429
Anaijah is starting her new clothing line. She sells t-shirts for $10 each and hoodies for $25 each. If on Saturday Anaijah sells 9 items and makes $120. Write a system of equations that can be used to determine how many of each item did Anaijah sell. Make sure to define all variables
Answer:
9x = 120
x= [tex]\frac{43}{3}[/tex]
Step-by-step explanation:
DUE IN A HALF HOUR! HELP QUICK!
Answer:
x<=4, put the closed circle on "4" with the arrow going all the way left
Eva buys online tickets to a play for her family. Each ticket costs $45.00 and there is a fee of $17.99
Answer:
$62.99
Step-by-step explanation:
Given data
Cost of ticket= $45.00
Fee= $17.99
Hence the expected amount she is to pay, that is the total cost of the ticket is
=45.00+17.99
=$62.99
Which two ordered pairs would be on the graph for the coordinates listed in the table?
Answer:
(10,54) and (11,59)
Step-by-step explanation:
those ordered pairs are the closest to one another.
Will give brainliest please helppp!!!
Answer:
9^28
Step-by-step explanation:
It's 9^ 28
remember when we are raising exponents to a power we are multiplying the exponent
Answer:
B
Step-by-step explanation:
When a number to a power of something is multiplied to another exponent, you multiply the exponent values. 7* 4 = 28
PLEASE HELP! THIS IS DUE IN 10 MINS (I WILL GIVE BRAINLIEST)
SHOW UR WORK PLEASE
Answer:
35
Step-by-step explanation:
if chiefs lost by 25, packers have 25 more points.
packers - 25 = chiefs
equation: packers - 25 = 10
packers = 10 + 25
packers = 35 points
Answer:
35 pts
Step-by-step explanation:
10+25=35
10+10=20
+15
35
lol
Will give Brainliest please help!!!!!!!!!!!!!!
Answer:
4⁷
Step-by-step explanation:
Rule of exponents is:
aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾
4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷
Answer:
Step-by-step explanation:
If it's what i think it is, it's answer with letter ABecause main part if same, you just write it again and exhibitors get collected5+2= 7. I hope i helped you!need help asapppppppppp
Answer:
201.53[tex]m^{2}[/tex]
Step-by-step explanation:
That is a hexagonal pyramid, which means it consists of one hexagon and six triangles.
Let's first find the hexagonal base.
The formula to find the area of a hexagon is [tex]\frac{3\sqrt{3}}{2}a^{2}[/tex], where a is the length of one side of the hexagon. In this question, a = 6m
Solve that to find that the area of the hexagon is 93.53m^2.
Now, on to the triangles. The area of one triangle is the base times the height, then halved. We know that the base of the triangle is 6m as it shares the base with a side of the hexagon, and the question states that the height is also 6m.
6 * 6 = 36
36 / 2 = 18
Hence, the area of one triangle is 18m^2
However, there are six triangles - not just one!
6 * 18 = 108
Adding everything up:
93.53 + 108 = 201.53
The answer is 201.53m^2
Solve this system of linear equations. Separate
the x- and y-values with a comma.
16x - 2y = -8
4x + 5y = -24
Enter the correct answer
Answer:
the answer is 396 beacsue i followed yiur instucton on the note answer.
Step-by-step explanation:
I'll mark you brainliest if you help me with my previous math questions.
Answer:
ok
Step-by-step explanation:
Help? please do not answer randomly
Answer:
x = 4.5
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle, then
the segment is half the length of the 3rd side, that is
5x = 0.5 × 45 = 22.5 ( divide both sides by 5 )
x = 4.5
HELP HELP HELP HELP JUST TWO SMALL THINGS
put down whatever pls give me actual answers
Answer:
for what question i dont see the quetsion
Step-by-step explanation:
Chen and Dave divide £350 in the ratio 3:4
ed
Work out how much money Dave gets
Answer:
£200
Step-by-step explanation:
Sum the parts of the ratio, 3 + 4 = 7 parts
Divide the amount by 7 to find the value of one part of the ratio
£350 ÷ 7 = £50 ← value of 1 part of the ratio , then
4 parts = 4 × £50 = £200 ← amount Dave gets
7.17 x 10' and 8.17 x 1067
Answer:
1. =71.7
2. =8717.39
Step-by-step explanation: Hope this help :D
What’s the answer pls help meee
Answer:
3 hours
160 - 55 = 105
105 ÷ 35 = 3
Answer:
3 hours
Step-by-step explanation:
First, we must turn this into an equation:
35n + 55 = 160
N = number of hours
Next, solve:
35n + 55 - 55 = 160 - 55
35n = 105
n = 3
The plumber was there for 3 hours.
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, How many more hot dogs would Winston needto sell to earn a total of $175.00 ?
Answer:
Winston would need to sell 14 more hot dogs to earn a total $175
Step-by-step explanation:
The what is the powerhouse of the cell?
:) :)
Answer:
Mitochondria is the power house of a cell
Step-by-step explanation:
Answer:
Mitochondria
Step-by-step explanation:
Trust me they will ask you on every interview this question Your welcome
jimmy bought a car in 2012 for $4,500. The car decreases by 12% of its value each year. How much will the car be worth in
2021?
what’s the function.