Question

The vector product of vectors A⃗  and B⃗  has magnitude 12.0 m2 and is in the +z-direction.Vector A⃗  has...

The vector product of vectors A⃗  and B⃗  has magnitude 12.0 m2 and is in the +z-direction.Vector A⃗  has magnitude 4.0 m and is in the −x-direction. Vector B⃗  has no x-component.

Part A: What is the magnitude of vector B⃗ ? (I solved this question the answer is 3 and it's correct)

Part B: What is the direction angle θ of vector B⃗  measured from the +y-direction to the +z-direction? (This is the part that I didn't get it correct)

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

PART 3:

Given that the vector product of A and B is along positive z-axis.

Hence, the vectors A and B are lying on the x-y plane.

Also, we have, vector A is directed along -x direction and vector B has no x-component, means that vector B is perpendicular to x-axis also.

Hence, We can say that B is directed along positive +y-axis (using right hand thumb rule).

Hence the angle θ is given by:

(Note : If this answer shows wrong, another option is θ = 270o. This is also possible)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Vector A⃗ has a magnitude of 25 m and makes an angle of 30∘ above the...
Vector A⃗ has a magnitude of 25 m and makes an angle of 30∘ above the positive x axis. Vector B⃗ has a magnitude of 13 m and is oriented 60∘ to the left of the y axis. A) Find the magnitude of A⃗ −B⃗ . B) Find the direction of A⃗ −B⃗ . C) Find the magnitude of 2A⃗ +B⃗ . D) Find the direction of 2A⃗ +B⃗ . E) Find the magnitude of −A⃗ +3B⃗ . F) Find...
Vector A⃗  has components Ax = 1.21 cm , Ay = 2.22 cm ; vector B⃗  has components...
Vector A⃗  has components Ax = 1.21 cm , Ay = 2.22 cm ; vector B⃗  has components Bx = 4.00 cm , By = -3.76 cm . 1)Part A Find the components of the vector sum A⃗ +B⃗ .? 2) Part B Find the magnitude of the vector sum A⃗ +B⃗ .? 3) Part C Find the counterclockwise angle the vector sum A⃗ +B⃗  makes with the +x axis.? 4) Part D Find the components of the vector difference B⃗ −A⃗ ....
The vector A⃗ A→ has a magnitude of 5.0 mm and makes an angle of 60...
The vector A⃗ A→ has a magnitude of 5.0 mm and makes an angle of 60 degrees above the positive x-axis. The vector B⃗ B→ has components Bx = 2.5 mm and By = -2.5 mm . Find the direction of A⃗ −B⃗ A→−B→, relative to the positive x-axis. 85 degrees -14 degrees 90 degrees 20 degrees
a) Given two vectors A⃗ =4.00i^+7.20j^ and B⃗ =5.30i^−2.10j^, find the scalar product of the two...
a) Given two vectors A⃗ =4.00i^+7.20j^ and B⃗ =5.30i^−2.10j^, find the scalar product of the two vectors A⃗ and B⃗ Part B) Find the angle between these two vectors. Express your answer in degrees.
Suppose E⃗ =2A⃗ + 3B⃗  where vector A⃗  has components Ax = 5, Ay = 2 and vector...
Suppose E⃗ =2A⃗ + 3B⃗  where vector A⃗  has components Ax = 5, Ay = 2 and vector B⃗  has components Bx = -3, By = -5.​ What is the x-component of vector E⃗ ?​ What is the y-component of vector E⃗ ?​ What is the magnitude of vector E⃗ ?​ What is the direction of vector E⃗ ?​
Vectors A and B lie in an xy plane. Vector A has a magnitude of 8.1...
Vectors A and B lie in an xy plane. Vector A has a magnitude of 8.1 and angle 144 degrees relative to +x direction; Vector B has components Bx= -4.31 and By= -8.51. What are the angles between the negative direction of the y axis and a) the direction of Vector A, b) direction of the product of Vector AxB, and c) the direction of Vector Ax(Vector B + 3.00k)?
- -    - In the figure; the magnitude of vector A is 18.0 units, and the...
- -    - In the figure; the magnitude of vector A is 18.0 units, and the magnitude of vector B is 12.0 units (the 30.0° angle is between vector B and the -y axis, as shown ). What vector C- (magnitude and direction) must be added to the vectors A and B so that the resultant of these three vectors points in the negative x direction and has a magnitude of 7.5O units?
Determine the magnitude of the resultant vector when you add the following four vectors: Vector A...
Determine the magnitude of the resultant vector when you add the following four vectors: Vector A has a magnitude of 13.0 m and is directed 20.0° above the -x axis, vector B has a magnitude of 11.0 m and is directed in the +y direction, vector C has a magnitude of 12.0 m and is directed 35.0° below the -x axis, and vector D has a magnitude of 28.0 m and is directed 50.0° below the +x axis.
The two vectors a and b in the figure have equal magnitude of 9 m and...
The two vectors a and b in the figure have equal magnitude of 9 m and the angles are θ1 = 26° and θ2 = 95°. Find the x-component and y-component of their vector sum r. What is the magnitude of their vector sum r? Find the angle that their vector sum r makes with the positive direction of the x-axis.
Vector A has magnitude of 7.0 at an angle of 50.0 o from the x-axis. Vector...
Vector A has magnitude of 7.0 at an angle of 50.0 o from the x-axis. Vector B has magnitude of 5.0 at an angle of -10.0 o from the x-axis. Let C=A+B. Let D=A-B. Let V=2*A-B. What is the x-component of vector C? What is the y-component of vector C? What is the x-component of vector D? What is the x-component of vector V? What is the y-component of vector D? What is the y-component of vector V?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT