If v= (3, 3, 6) and u = (2, -1, 1), then the length of the projection of u along v is:Select one:a. 3b. 0c. d. e.

Question

If v= (3, 3, 6) and u = (2, -1, 1), then the length of the projection of u along v is:Select one:a. 3b. 0c. d. e.
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Solution 1

The projection of vector u onto vector v is given by the formula:

proj_v(u) = ((u.v)/||v||^2) * v

where:

  • u.v is the dot product of u and v,
  • ||v|| is the magnitude of v.

First, calculate the dot product of u and v:

u.v = (23) + (-13) + (1*6) = 6 - 3 + 6 = 9

Next, calculate the magnitude of Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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