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Unit vector making angles pi/6, pi/6, pi...

Unit vector making angles `pi/6, pi/6, pi/3` with `bar(i), bar(j), bar(k)` directions is

A

`1/sqrt(3)(bar(i)+bar(j)+bar(k))`

B

`1/sqrt(3)(bar(i)-bar(j)+bar(k))`

C

`1/sqrt(3)(bar(i)-bar(j)-bar(k))`

D

impossible to get such a vector

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - I
  1. The unit vector(s) parallel to bar(i)-3bar(j)-5bar(k) is

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  2. If bar(OP)=2bar(i)+3bar(j)-bar(k), bar(OQ)=3bar(i)-4bar(j)+2bar(k) the...

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  3. Unit vector making angles pi/6, pi/6, pi/3 with bar(i), bar(j), bar(k)...

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  4. If a straight line makes an angle cos^(-1)(1/sqrt(3)) with each of the...

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  5. If (bar(a), bar(b))=60^(@)" then "(-bar(a), -bar(b))=

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  6. Any two collinear vectors are

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  7. Any three coplanar vectors are

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  8. If bar(a) and bar(b) are two non-zero, non-collinear vectors such that...

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  9. If bar(a)=bar(i)-2bar(j)+bar(k), bar(b)=4bar(i)+2bar(j)-bar(k), bar(c)...

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  10. If bar(a)=bar(i)+2bar(j)+2bar(k) and bar(b)=3bar(i)+6bar(j)+2bar(k) th...

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  11. If 2bar(i)+3bar(j)-6bar(k), 6bar(i)-2bar(j)+3bar(k) are two consecutiv...

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  12. If ABCD is a parallelogram such that bar(AB)=bar(a), bar(BC)=bar(b)" t...

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  13. A point C = (5a + 4b - 5c)/(3) divides the line joining A = a - 2b + 3...

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  14. P, Q, R, S have position vectors bar(p), bar(q), bar(r), bar(s) respec...

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  15. The ratio in which the line segment joining the points with P.V.'s bar...

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  16. The ratio in which bar(i)+2bar(j)+3bar(k) divides the join of -2bar(i)...

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  17. Let 'O' be the origin and A, B be two points. bar(p), bar(q) are vecto...

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  18. The vector equation of the line passing through the point 2bar(i)+bar(...

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  19. The equation to the line passing through the points A(bar(i)+bar(j)+ba...

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  20. The cartesian equation of the line passing through the point (2, -1, 4...

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