Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Three vectors satisfy the relation A.B=0 , then A is parallel to B*C. b.B.c c. C. d.B
There are three vectors a, b and c satisfying the relation, a.b = 0 and a.c = 0 a.b = 0 => dot product of a and b = 0 it means angle between vector a and vector b is 90°. similarly, a.c = 0 => dot product of a and c = 0, it means angle between vector a and c is 90°. option (a) is incorrect, a is not parallel to b rather, a and b is perpendicular to each other. option (b) is incorrect, because a is perpendicular on c. option (c) is incorrect because b.c is an scalar quantity and a scalar can't parallel to a vector quantity. option (d) correct because cross product of b and c is perpendicular on plane of b and c. and we know, from above explanation only a is perpendicular on b and c too. hence, vector b × c is parallel to vector a. [ note : for batter understanding let's assume that a = i, b = j and c = k, here a.b = i.j = 0, a.c = j.k = 0, then, b × c = j × k = i = a hence, a is parallel to (b × c)
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -