In this lesson, we will learn how to calculate the vector product of two vectors and how to use the vector product to find the angle between two vectors.

Q1:

For the vectors shown in the accompanying diagram, the positive π₯ -axis corresponds to horizontally right and the positive π¦ -axis corresponds to vertically upward.

Find the component of vector A along vector C .

Find the component of vector C along vector A .

Find the component of vector i along vector F .

Find the component of vector F along vector i .

Q2:

Consider the vectors A i j = β β and B i j = β 3 β .

Find A B Γ .

Find | Γ | A B .

Find the angle between A and B .

Find the angle between ( Γ ) A B and C i k = + .

Q3:

A convoy of vehicles has a velocity vector v i j = ( 4 . 0 + 3 . 0 ) / k m h .

What is the unit vector of the convoyβs direction of motion?

At what angle north of east does the convoy move?

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