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

Let the pairs of vectors a,b and c,d each determines a plane, then the planes are parallel if

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

The correct option is C (a×b)×(c×d)=0
Normal vector to plane ¯a,¯b is given by, ¯aׯb
And normal vector to plane ¯c,¯d is given by, ¯cׯd
Now for planes to be parallel, the angle between their normal should be 0 or 180
(¯aׯb)×(¯cׯd)
=|¯aׯb||¯cׯd|sin0
=0

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