There are two vectors `vecA=3hati+hatjandvecB=hatj+2hatk`. For these two vectors, Find a unit vector which is perpendicular to both `vecA&vecB`.
A
`vec(A)`
B
`vec(B)`
C
`vec(A)xxvec(B)`
D
`vec(A)` & `vec(B)`
Text Solution
Verified by Experts
The correct Answer is:
D
`vec(A)xx(vec(A)xxvec(B))=vec(A)(vec(A).vec(B))-vec(B)(vec(A).vec(A))rArr` this vector lies in plane of `vec(A)` & `vec(B)`
Topper's Solved these Questions
BASIC MATHS
ALLEN|Exercise Exersice-03|7 Videos
BASIC MATHS
ALLEN|Exercise ASSERTION-REASON|11 Videos
AIIMS 2019
ALLEN|Exercise PHYSICS|40 Videos
CIRCULAR MOTION
ALLEN|Exercise EXERCISE (J-A)|6 Videos
Similar Questions
Explore conceptually related problems
There are two vectors vecA=3hati+hatj and vecB=hatj+2hatk . For these two vectors- (a) Find the component of vecA along vecB in vector form. (b) If vecA & vecB are the adjacent sides of a parallalogram then find the magnitude of its area. (c) Find a unit vector which is perpendicular to both vecA & vecB .
There are two vectors vecA= 3hati+hatj and vecB=hatj+2hatk . For these two vectors - (a) If vecA & vecB are the adjacent sides of a parallelogram then find the magnitude of its area. (b) Find a unit vector which is perpendicular to both vecA & vecB .
The cross product of vectors Given : vecA=hati+hatjandvecB=hati+hatk .
If two vectors are given as veca = hati - hatj + 2hatk and vecb = hati + 2hatj+hatk , the unit vector perpendicular to both vec a and vec b is
If veca=2hati-hatj+hatk and vecb=3hati+4hatj-hatk , prove that vecaxxvecb represents a vector which perpendicular to both veca and vecb .
If veca=hati+2hatj-3hatk and vecb=3hati+hatj+2hatk show that the vectors veca+vecb and veca-vecb are perpendicular to other.
If vecA= 6hati- 6hatj+5hatk and vecB= hati+ 2hatj-hatk , then find a unit vector parallel to the resultant of veca & vecB .
If vecA= 3hati+2hatj and vecB= 2hati+ 3hatj-hatk , then find a unit vector along (vecA-vecB) .
The angle between the two vectors vecA=hati+2hatj-hatk and vecB=-hati+hatj-2hatk
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: