First slide
Vectors
Question

The velocity' of a particle is v=6i^+2j^-2k^. The component of the velocity parallel to vector a=i^+j^+k^  in vector form is

Moderate
Solution

Magnitude of component of v along a

=v·aa=6+2-23=23

Now,  a^=i^+j^+k^3

  Component of velocity in vector form

                                     =23a^=(2i^+2j^+2k^)

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