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

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

A

`60^(@)`

B

`30^(@)`

C

`45^(@)`

D

`90^(@)`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - I
  1. Unit vector making angles pi/6, pi/6, pi/3 with bar(i), bar(j), bar(k)...

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

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

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  4. Any two collinear vectors are

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  5. Any three coplanar vectors are

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The cartesian equation to the line passing through the points A(1, 2, ...

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  20. If bar(a), bar(b), bar(c) are three non-coplanar vectors, then the vec...

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