Unit vector perpendicular to hati - 2 ha...

Unit vector perpendicular to `hati - 2 hatj + 2hatk` and lying in the plance containing `hati - 2 hatj + 2 hatk and -hati + 2 hatj + hatk` is :

A

8i-7j+11k

B

8i+7j-11k

C

8i-7j-11k

D

`1/sqrt(234) (8i-7j-11k)`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

Unit vector perpendicular to hati - 2 hatj + 2hatk and lying in the plance containing hati + hatj + 2 hatk and -hati + 2 hatj + hatk is :

A unit vector perpendicular to both hati+hatj+hatk and 2hati+hatj+3hatk is

The unit vector which is orthogonal to the vector veca = 3 hati + 2 hatj + 6 hatk and is coplanar with the vectors vecb = 2 hati + hatj + hatk and vecc = hati - ahtj + hatk is :

A unit vector perpendicular to the two vectors hati + 2hatj - hatk and 2hati + 3hatj + hatk is equal to

A unit vector perpendicular to the plane containing the vectors hati+2hatj+hatk and -2hati+hatj+3hatk is

The projection of vector hati - 2 hatj + hatk on the vector 4 hati - 4 hatj + 7 hatk is :

The area of a parallelogram whose adjacent sides are hati - 2 hatj+ 3 hatk and 2 hati + hatj - 4 hatk is :

If a=2hati-hatj+2hatk and b=-hati+hatj-hatk , then find a+b.

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK

The volume of the tetracedron formed by the points (1,1,1) (2,1,3),(3,...
Text Solution
|
If vec u = vec a - vec b, vec nu = vec a + vec b and |vec a| = |vec b|...
Text Solution
|
Unit vector perpendicular to hati - 2 hatj + 2hatk and lying in the pl...
Text Solution
|
If vec u , vec nu, and vec w are non coplanar vectors and p,q are real...
Text Solution
|
If vec a . i = vec a . (i+j) = vec a . (i+j+k) = 1, then vec a =
Text Solution
|
If vec a and vec b are unit vectors such that |vec a + vec b| =1, then...
Text Solution
|
The projection of a = 3i - j + 5k on b = 2i + 3j +k is
Text Solution
|
If vec a. vec b = ~ |vec a||vec b| then angle between vec a and vec b ...
Text Solution
|
If vec a + 2 vec b + 3 vec c = vec 0, then (vec a xx vec b)+ (vec b xx...
Text Solution
|
If vec a, vec b, vec c non zero coplanar vectors, then, [2 vec a - vec...
Text Solution
|
If vec(a),vec(b) and vec(c) are unit vectors such that vec(a)+vec(b)+v...
Text Solution
|
If the points with position vectors 10 hati + 3 hatj, 12 hati- 5 hatj ...
Text Solution
|
If 2hati+3hatj,hati+hatj+hatk and lambdahati+4hatj+2hatk taken in an o...
Text Solution
|
If vec a, vec b and vec c are non coplanar then vec a . { (vec b xx ve...
Text Solution
|
Angle between the vectors vec a and vec b, where vec a, vec b and vec ...
Text Solution
|
Let vec a = 2i-j+k, vec b = i+2j-k and vec c = i+j-2k be three vector...
Text Solution
|
The vector 1/3 (2i-2j+k) is
Text Solution
|
If vec a, vec b and vec c are non coplanar unit vectors such that vec ...
Text Solution
|
Let alpha, beta, gamma are distinct real numbers. The points with posi...
Text Solution
|
A non-zero vector vec a is parallel to the line of intersection of the...
Text Solution
|