Vector A⃗ has a magnitude of 4.0 units in the negative y direction. Vector B⃗ has...

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Question

Vector A⃗ has a magnitude of 4.0 units in the negative y direction. Vector B⃗ has...

Vector A⃗ has a magnitude of 4.0 units in the negative y direction. Vector B⃗ has a positive x component of 4.0 units and a negative y component of 9.0 units.

A) What is the angle between the vectors?

B) Determine A⃗ * B⃗

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Answer 1

Answer #1

Let us write the vectors in unit vector notation,

A=-4j

And B=4i-9j

(A)Now we know that dot product of two vectors is

So,

=23.96⁰

(b)

A*B is the cross product of two vectors,

A*B=(-4j)*(4i-9j)

=(-4*4)(j*i)

=16 k

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Answer 2

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