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If (veca xx vecb) xx vecc = vec a xx (ve...

If `(veca xx vecb) xx vecc = vec a xx (vecb xx vecc)`, where `veca, vecb` and `vecc` are any three vectors such that `veca.vecb ne 0, vecb.vecc ne 0`, then `veca` and `vecc` are:

A

inclined at an angle of `pi/3` between them

B

inclined at an angled of `pi/6` between them

C

perpendicular

D

parallel

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Verified by Experts

The correct Answer is:
D
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. The value of 'a' for which the points A, B,C with position vectors ...

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  2. For any vector veca the value of (vecaxxhati)^2+(vecaxxhatj)^2+(vecaxx...

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  3. If (veca xx vecb) xx vecc = vec a xx (vecb xx vecc), where veca, vecb ...

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  4. veca=3hati-5hatj and vecb=6hati+3hatj are two vectors and vec c is a v...

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  5. Vectors veca and vec b are inclined at an angle theta = 120^@ . If |ve...

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  6. For any vector vecp , the value of 3/2 { |vecp xx hati|^2 + |vecp ...

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  7. If (vec a xx vec b)^2 + (veca .vecb)^2 = 676 and |vecb| = 2, then |ve...

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  8. What is the interior acute angle of the parallelogram whose sides are ...

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  9. Area of rectangle having vertices A, B , C and D with position vector ...

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  10. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

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  11. Let veca, vecb, vec c such that |veca| = 1 , |vecb| = 1 and |vec c | ...

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  12. |(a xx b).c | = |a||b||c| , if

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  13. If veca = hati +hatj , vecb = 2hatj - hatk " and " vecr xx veca = ve...

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  14. Let veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+...

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  15. If veca, vecb, vec c are three non coplanar vectors , then the value ...

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  16. Let vec(A) = 2hat(i) + hat(k), vec(B) = hat(i) + hat(j) + hat(k) and ...

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  17. A particle is acted upon by constant forces 4hati +hatj - 3hatk and 3h...

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  18. Force hati + 2hatj -3hatk , 2hati + 3hatj + 4hatk and -hati - hatj + ...

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  19. The resultant moment of three forces hati + 2hatj -3hatk, 2hati + 3hat...

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  20. If ((veca xx vec b ) xx (vec c xx vec d)).(vec a xx vec d)= 0 , then ...

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