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

If a,b,c are non-zero vectors such that |(a×b).c|=|a||b||c|, then |a+b+c|2=

A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
|a|2+|b|2+|c|2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D |a|2+|b|2+|c|2
⎜ ⎜a2¯¯¯a.¯¯b¯¯¯a.¯¯c¯¯b.¯¯¯ab2¯¯b.¯¯c¯¯c.¯¯¯a¯¯c.¯¯bc2⎟ ⎟=(¯¯¯aׯ¯b.¯¯c)2
Thus, we get that all the dot products in the determinant are 0.
And so, |¯¯¯a+¯¯b+¯¯c|2=|¯¯¯a|2+|¯¯b|2+|¯¯c|2

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
What is Binomial Expansion?
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon