Question

Compute the projection of u on v.

Answer 1

Answer:

$\frac{3}{7}.v$    option (C) is correct

Step-by-step explanation:

projection of vectors: The vector projection of one vector over another vector is the length of the shadow of the given vector over another vector.

projection of vector u on v is given by :

$(\frac{u.v}{v.v}).v$

Given,

vector u = <5, 7, 1>

vector v = <2, -1, 3>

substituting these values in the above formula

$[\frac{(2,-1,3)(5,7,1)}{(2,-1,3).(2,-1,3)} ].v$  =  $\frac{6}{14}.v= \frac{3}{7}.v$

thus the correct answer is option (C)

learn more about vector projections at

https://brainly.com/question/15874729

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