Question

In words, the scalar product of two vectors can be thought of as the product of the magnitude of ~a with the magnitude of the projection of ~b onto the direction of ~a. It is used to calculate the product of vector quantities when only the parallel components of each vector contribute (e.g., Work = Force • Displacement). Let ~a = h9, 6.75, 0i and ~b = h2.97, 6.075, 0i. Calculate ~a • ~b.

Answer 1

Answer:

  67.73625

Step-by-step explanation:

The dot (scalar) product is also the sum of products of corresponding vector components.

~a • ~b = 9·2.97 +6.75·6.075 +0·0 = 27.73 +41.00625 = 67.73625