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
6i^+2j^+2k^
2i^+2j^+2k^
i^+j^+k^
6i^+2j^-2k^
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^)