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.

Question

Moises

Mathematics

27 March, 09:21

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.

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Answers (1)

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Harley Parks · Answer 1

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