CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a+2b+3c=0 , then a×b+b×c+c×a is equal to

A
6(b×c)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
6(¯¯c×a)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
6(aׯ¯b)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 6(b×c)
¯¯¯a+2b+3c=0¯¯¯a×(¯¯¯a+2b+3c)=02a×b+3¯¯¯a×c=02(¯¯¯aׯ¯b)=3(¯¯cׯ¯¯a)b×(a+2b+3c)=0b×a+2b×b+3b×c=03(b×c)=a×ba×b+b×c+c×a=3(b×c)+(b×c)+23(a×b)=3(b×c)+(b×c)+23×3(b×c)=6(b×c)OptionAiscorrectanswer.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Thin Lenses: Point Objects
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon