Home
Class 12
MATHS
If veca =hati + hatj, vecb = hati - hatj...

If `veca =hati + hatj, vecb = hati - hatj + hatk` and `vecc` is a unit vector `bot` to the vector `veca` and coplanar with `veca` and `vecb`, then a unit vector `vecd` is perpendicular to both `veca` and `vecc` is:

A

`1/sqrt(6)(2hati - hatj + hatk)`

B

`1/sqrt(2)(hatj + hatk)`

C

`1/sqrt(2)(hati + hatj)`

D

`1/sqrt(2)(hati + hatk)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If veca=hati+hatj-hatk, vecb=hati-hatj+hatk and vecc is a unit vector perpendiculr to the vector veca and coplanar with veca and vecb , then a unit vector vecd perpendicular to both veca and vecc is

Let veca=hati+hatj-hatk, vecb=hati-hatj+hatk and vecc be a unit vector perpendicular to veca and coplanar with veca and vecb , then it is given by

If veca =hati + hatj-hatk, vecb = - hati + 2hatj + 2hatk and vecc = - hati +2hatj -hatk , then a unit vector normal to the vectors veca + vecb and vecb -vecc , is

If vecA = 2 hati + hatj + hatk and vecB = hati + hatj + hatk are two vectores, then the unit vector is

If veca=hati+hatj, vecb=hatj+hatk, vec c hatk+hati , a unit vector parallel to veca+vecb+vecc .

If veca=hati+hatj+hatk, vecb=2hati-hatj+3hatk and vecc=hati-2hatj+hatk find a unit vector parallel to ther vector 2veca-vecb+3cevc .

Given : vecA = 2hati - hatj + 2hatk and vecB = -hati - hatj + hatk . The unit vector of vecA - vecB is

If vecA = - 4 hatj + 3 hatj and vecB = 2hati + 5 hatj and vecC = vecA xx vecB , then the vector vecC makes an angle of

Let veca=hati+hatj+hatk, vecb=hati-hatj+hat2k and vecc=xhati+(x-2)hatj-hatk . If the vector vecc lies in the plane of veca and vecb then x equals