wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The vector C, directed along the internal bisector of the angle between the vectors a=7^i4^j4^k and b=2^i^j+2^k with |c|=56, is

A
±(53(^i7^j+2^k)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
53(5^i5^j+2^k)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
53(^i7^j+2^k)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
53(5^i5^j+2^k)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A ±(53(^i7^j+2^k)
The required vector C is given by
C=λ(^a+^b)=λ(a|a|+b|b|)=λ{19(7^i4^j4^k)+13(2^i^j+2^k)}
c=λ9(^i7^j+2^k)|c|=±λ91+49+4=±λ954
But |c|=56 (given)
±λ954=56λ=±15
Hence, c=±159(^i7^j+2^k)=±53(^i7^j+2^k)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Application of Vectors - Lines
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon