Question

the projection of u=2i+3j-k onto i is​

Answer 1

Answer:

your answer is 38 j

Step-by-step explanation:

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Answer 2

Answer:

The projection of vector u=2i+3j-k onto the other vector v=i is '2'.

Step-by-step explanation:

Projection of vector a on b :

For two vectors a and b, the projection vector of a on vector b is given

• Projection of a on b = $\frac{1}{|b|} (a.b)$

         where (a.b) is the dot product of vectors a and b.

          |b| is the magnitude of vector b.

• Given vector u = 2i+3j-k and other vector v = i

       The projection of vector u on vector v is given by  $\frac{1}{|v|} (u.v)$

         Now find the dot product of vectors u and v  

                (u.v) = (2x1) + (3x0) + (-1x0) = 2

          and the magnitude of vector v is = |v| = $\sqrt{(1)^{2} +(0)^{2}+(0)^{2} }$ = 1

             So, the Projection of vector u on vector v is = 2/1 = 2.

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