Question

1) For vectors a and b find the projection of a on b. a =< 4,...

1) For vectors a and b find the projection of a on b. a =< 4, −3 >,b =< 3, 2 >

2) Find the area of the parallelogram with adjacent sides a = i + j and b = i + k

3) Find the unit tangent T for the following curve r =< 2 cos t^2 , 2 sin t^2 >

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Homework Answers

Answer #1

1] Here, and

Let's find the dot product,

  

  

  

Find the magnitude of

   

Scalar projection is given by,

Vector projection of and is given by,

So, the projection of on is

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