Let ABCD be a parallelogram. If AB=hati+...

Let ABCD be a parallelogram. If `AB=hati+3hatj+7hatk,AD=2hati+3hatj-5hatk` and p is a unit vector parallel to AC, then p is equal to
a)`1/(3)(2hati+hatj+2hatk)` b)`1/(3)(2hati+2hatj+2hatk)`
c)`1/(7)(3hati+6hatj+2hatk)`d)`1/(7)(6hati+2hatj+3hatk)`

A

`1/(3)(2hati+hatj+2hatk)`

B

`1/(3)(2hati+2hatj+2hatk)`

C

`1/(7)(3hati+6hatj+2hatk)`

D

`1/(7)(6hati+2hatj+3hatk)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Find a unit vector parallel to the sum of vectors veca=2 hati+4 hatj-5 hatk and vecb=hati+2 hatj+3 hatk

If veca=hati+hatj-hatk,vecb=2hati+3hatj+hatk and theta is the angle between them, then tantheta =

Find the sum of the vectors. veca=hati-2 hatj+hatk, vecb=-2 hati+4 hatj+5 hatk and vecc=hati-6 hatj-7 hatk

If veca=3hati+2hatj+2hatk,vecb=hati+2hatj-2hatk Find veca+vecb and veca-vecb

Find the shortest distance between the lines vecr =(2hati-hatj-hatk)+lambda(3hati-5hatj+2hatk) and vecr =(hati+hatj+hatk)+mu(hati-hatj+hatk)

if veca=hati+hatj+hatk, vecb=2 hati-hatj+3 hatk and vecc=hati-2 hatj+hatk , find a unit vector parallel to the vector 2 veca-vecb+3 vecc