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Values of a for which the points A, B, C with position vectors 2i - j+k, i - 3j - 5k and ai - 3j +k, respectively, are the vertices of a right angled triangle with `C = (pi)/2` are

A

2 and -1

B

2 and 1

C

`-2 " and "-1`

D

`-2" and "1`

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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  5. If hat u and hat v are unit vectors and theta is the acute ang...

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  6. The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...

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  8. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

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  9. vectors veca=i-j+2k , vecb=2i+4j+k and vecc=lambdai+j+muk are mutually...

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  10. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

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  11. If a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k), then the value of (2a-b)....

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  14. Let a,b and c be three non-zero vectors which are pairwise non-colline...

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  15. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

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  16. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

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  17. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

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  18. If veca and vecb are non colinear vectors, then the value of alpha for...

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  19. Let vec a = 2hat i-hat j+hat k,vec b=hat i+ 2hat j-hat k and vec c=h...

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