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three vectors A,B,C satisfy the relation A.B=0 & A.C=0 the vector A is parallel to (a) B (b) C (c) B.C (d)B x C i want the solution also waiting for u reply

three vectors A,B,C satisfy the relation  A.B=0 & A.C=0


the vector A is parallel to


(a) B     (b) C   (c) B.C   (d)B x C


i want the solution also


waiting for u reply

Grade:11

5 Answers

vikas askiitian expert
509 Points
10 years ago

A.B = 0 , A.C = 0

if dot product is 0 then vectors are perpendicular

A.B = 0                 (A perpendicular to B)

A.C = 0                 (A perpendicular to C )

 

BxC (cross product) = vector parpendicular to B & C ...

A is perpendicular to both B,C so  A is parallel to BxC hence option d is correct ...

vijesh jayan
49 Points
10 years ago

thanks bro!!!!!!!!!!!!!!!!!!!!!!!!!!!

Yash falke
13 Points
4 years ago
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Ajeet Tiwari
askIITians Faculty 86 Points
one year ago
hello students

Three vectors satisfy the relation A.B=0andA.C=0then A isparallelto. A isperpendicularto bothBandCand BxxC is alsoperpendicularto bothBandC. Therefore, A isparallelto BxC.

Hope it helps
Thankyou
Yash Chourasiya
askIITians Faculty 256 Points
one year ago
Dear Student

Given, A⋅B = 0, ∴ A is ⊥ to B
also, A⋅C = 0, ∴ A is ⊥ to C
As B×C is ⊥ to both B and C,
so B×C is parallel to A.

I hope this answer will help you.
Thanks & Regards
Yash Chourasiya

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