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If vec(p), vec(q) are two non collinear ...

If `vec(p), vec(q)` are two non collinear and non zero vectors such that `(b-c) (vec(p) xx vec(q)) + (c-a) vec(p) + (a-b) vec(q)= vec(0)` where a,b,c are the length of the sides of a triangle, then the triangle is

A

Rt-angled

B

obtuse angled

C

equilateral

D

Isosceles

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The correct Answer is:
C
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AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-II
  1. If vec(a) is a non zero vector and vec(a).vec(b)= vec(a).vec(c ), vec(...

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  2. If vec(i), vec(j), vec(k) is an orthonomal system of vectors, vec(a) i...

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  3. If vec(p), vec(q) are two non collinear and non zero vectors such that...

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  4. If vec(a), vec(b) are unit vectors satisfying (5vec(a) + 3vec(b)) xx (...

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  5. Statement-I: If |vec(a).vec(b)|= |vec(a) xx vec(b)| then (vec(a), vec(...

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  6. If |vec(a)|= |vec(b)| =1 and |vec(a) xx vec(b)|= vec(a).vec(b), then |...

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  7. If vec(a), vec(b), vec(c ) are unit vectors such that vec(a).vec(b)= v...

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  8. If vec(a) xx vec(b)= vec(c ) xx vec(d), vec(a) xx vec(c )= vec(b) xx v...

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  9. If vec(a).vec(i)=4, then (vec(a) . vec(j))xx (2vec(j)-3vec(k))=

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  10. The unit vector orthogonal to a = 2i + 2j + k, b = 3i + 4j - 12k and f...

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  11. A vector of magnitude 6 which is perpendicular to both 4vec(i) - vec(j...

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  12. Match the following

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  13. p vec(a) is a vector perpendicular to vec(i) and vec(j) whose magnitud...

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  14. If vec(a) + 2vec(b) + 4 vec(c )= vec(0), then vec(a) xx vec(b) + vec(b...

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  15. If vec(a) xx vec(b) = vec(b) xx vec(c )= vec(c )xx vec(a), where vec(a...

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  16. If vec(a) + vec(b) + vec(c )= vec(0) and |vec(a) xx vec(b)|=3, then |v...

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  17. If (vec(a) xx vec(b))^(2) + (vec(a).vec(b))^(2)=144 and |vec(a)|=4" th...

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  18. If vec(p)= vec(a)-vec(b), vec(q)= vec(a) + vec(b), |vec(a)|= |vec(b)|=...

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  19. If vec(i), vec(j), vec(k) are unit orthonormal vectors and vec(a) is a...

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  20. Assertion (A): Let vec(a) = a(1) vec(i) + a(2) vec(j) + a(3) vec(k). T...

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