wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

If b and c are any two non-collinear unit vectors and a is any vector, then
(a.b)b+(a.c)c+a.(b×c)|b×c|2(b×c)=

A
a
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
b
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
a+b+c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A a
Given that b,c are unit vector

Let

b=^i

c=^j

a=^i+^k

=(ab)b+(ac)c+a(b×c)b×c2(b×c)

=(^i+^k)(^i)b+(^i+^k)(^j)c+(^i+^k)(^i×^j)^i×^j2(^i×^j)

=(1)^i+(0)c+(^i+^k)(^k)^k2(^k)

=^i+11(^k)

=^i+^k

=a

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Vector Intuition
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon