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The points whose position vectors are 2i...

The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4i + 2j + 3k are the vertices of

A

An isoscles triangle

B

Right angled triangle

C

Equilateral triangle

D

Righta angled isosceles triangle

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The correct Answer is:
C
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SIA PUBLICATION-ADDITION OF VECTORS AND PRODUCT OF VECTORS-Problems
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  2. Three non-zero non-collinear vectors a, b, c are such that a + 3b is c...

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  3. The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4...

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  4. P,Q,R and four point with the position vectors 3i-4j+5k, -4i+5j+k and ...

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  5. If veca ne vec0, vecb ne vec0, vecc ne vec0, veca xx vecb =vec0 and ve...

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  6. The shortest distance between the lines r=3i+5j+7k +lambda (i+2j+k) an...

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  7. A unit vector coplanar with i+j+3k and i+3j+k and perpendicular to i+j...

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  8. If veca and vec(to)b are two non-zero perpendicular vectors, then a ve...

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  9. vec(to)a=i+j-2h rArr sum {( a xx i) xx j}^(2) is equal to

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  10. Let a, b and c be three non-coplanar vectors and let p,q and r be the ...

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  11. Let veca+i+2j+j, vecb=i-j+k, vecv=i+h-k. A vector in the plane of veca...

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  12. The point of intersection of the lines l(1) : r(t)=(i-6j+2k) +t(i+2j...

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  13. The vectors AB = 3i - 2j + 2k and BC = - I - 2k are the adjacent sides...

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  14. If p^(th), q^(th), r^(th) terms of a geometric progression are the pos...

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  15. The magnitude of the projection of the vector a=4i-3j+2k on the line w...

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  16. If the vectors i-2xj-2yk and i+3xj+2yk are orthogonal to each other, t...

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  17. For any vector vecr. I xx (vecr xx i)+j xx (vecr xx j) + xx (vecr+xx...

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  18. If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a ...

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  19. If |a| = 1, |b| = 2 and the angle between a and b is 120, then {(a + 3...

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  20. Let v = 2i + j - k and w = I + 3k. If u is unit vector. Then the maxim...

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