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If |bar(a)| = 2, |bar(b)| = 5, and bar(a...

If `|bar(a)| = 2, |bar(b)| = 5, and bar(a).bar(b) = 8` then `|bar(a) - bar(b)|` =__________

A

13

B

12

C

`sqrt(13)`

D

`sqrt(21)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-VECTOR AND THREE DIMENSIONAL GEOMETRY
  1. The distance of the point (3, 4, 5) from Y-axis is

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  2. If cos alpha, cos beta, cos gamma are the direction cosines of a line ...

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  3. If |bar(a)| = 2, |bar(b)| = 5, and bar(a).bar(b) = 8 then |bar(a) - ba...

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  4. If bar(AB) = 2hat(i) + hat(j) - 3 hat(k), and A(1, 2, -1) is given poi...

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  5. If l, m, n are direction cosines of a line then l hat(i) + m hat(j) + ...

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  6. The values of c that satisfy |c bar(u)| = 3, bar(u) = hat(i) + 2 hat(j...

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  7. The value of c if |c bar(u)| = sqrt(14), bar(u) = hat(i) + 2 hat(j) + ...

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  8. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

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  9. Find the magnitude of a vector with initial point : (1, -3, 4), termin...

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  10. Find the coordinates of the point which is located, three units behind...

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  11. A(2, 3), B(-1, 5), C(-1, 1) and D(-7, 5) are four points in the Cartes...

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  12. Find a unit vector in the opposite direction of bar(u). Where bar(u) =...

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  13. The non zero vectors bar(a) and bar(b) are not collinear find the valu...

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  14. If bar(a) = 4 hat(i) + 3 hat(k) and bar(b) = - 2 hat(i) + hat(j) + 5 ...

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  15. Find the distance from (4, -2, 6) to the XZ-Plane.

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  16. If the vectors 2 hat(i) - q hat(j) + 3 hat(k) and 4 hat(i) - 5 hat(j)...

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  17. Find bar(a). bar(b) xx bar(c), if bar(a) = 3 hat(i) - hat(j) + 4 hat(k...

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  18. If a line makes angle 90o, 60oand 30owith the positive direction of ...

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  19. The vector bar(a) is directed due north and |bar(a)| = 24. The vector ...

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  20. Show that following points are collinear P(4, 5, 2), Q(3, 2, 4), R(5, ...

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