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Consider the vectors veca = hat i + 3 ha...

Consider the vectors `veca = hat i + 3 hat j + hat k` and `vec b = 2 hat i - hat j - hat k`.
(i) Find `vec a.vec b`
(ii) Find the angle between `vec a` and `vec b`.

A

`(pi)/(2)`

B

`(pi)/(6)`

C

`(pi)/(4)`

D

`(pi)/(3)`

Text Solution

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The correct Answer is:
A
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NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-OBJECTIVE TYPE QUESTIONS
  1. If |vec a| = 4 and -3 le lambda le 2 then the range of |lambda vec a|

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  2. If vec a and vec b are two unit vectors and theta is the angle between...

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  3. If the vectors 3 hat i + lambda hat j + hat k and 2 hat i - hat j + 8 ...

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  4. Let veca and vec b be two unit vectors such that angle between them i...

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  5. The two variable vectors 3x hat i + y hat j - 3 hat k and x hat i - 4 ...

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  6. Consider the vectors veca = hat i + 3 hat j + hat k and vec b = 2 hat ...

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  7. If |vec a| = 3, | vec b| = 4, then the value of lambda for which vec ...

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  8. If vec a and vec b are two non -zero vectors, then (vec a + vec b) .(v...

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  9. vec a .(vec b + vec c) is equal to

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  10. If vec a = hat i + 2 hat j - 3 hat k and vec b = 3 hat i - hat j + 2 h...

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  11. If vec a and vec b are non - zero vectors and |vec a+ vec b| = |vec a ...

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  12. The projection of the vector hat i + hat j + hat k along the vector ha...

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  13. A unit vector perpendicular to the vectors veca = 2 hat i - 6 hat j - ...

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  14. The number of vectors of unit length perpendicular to the vectors vec ...

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  15. If vec a, vec b, vec c are any three mutually perpendicular vectors of...

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  16. The volume (in cubic units) of the parallelopiped whose edges are repr...

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  17. The projection vector of veca on vecb is

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  18. If vec a xx vec b and vec a. vecb = 0 then

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  19. If vec a = hat i - hat j and vec b = hat j + hat k then |vec a xx vec ...

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  20. Let vec a = hat i + hat j + hat k, vec b = hat i - hat j + 2 hat k and...

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