wiz-icon
MyQuestionIcon
MyQuestionIcon
6
You visited us 6 times! Enjoying our articles? Unlock Full Access!
Question

The unit vector which is orthogonal to the vector 3^i+2^j+6^k and is coplanar with the vectors 2^i+^j+^k and ^i^j+^k

A
2^i6^j+^k41
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2^i3^j13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3^j^k10
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
4^i+3^j3^k34
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 3^j^k10
As we know that, a vector coplanar to a,b and orthogonal to c is λ(a×b)×c.
A vector coplanar to (2^i+^j+^k),(^i^j+^k) and orthogonal to 3^i+2^j+6^k=λ[{(2^i+^j+^k)×(^i^j+^k)}×(3^i+2^j+6^k)]=λ[(2^i^j3^k)×(3^i+2^j+6^k)]=λ(21^j7^k) Unit vector=+(21^j7^k)(21)2+(7)2=+(3j^k)10


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Vector Triple Product
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon