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

If `vec a = hat i + 2 hat j - 3 hat k` and `vec b = 3 hat i - hat j + 2 hat k`, then `vec a + vec b` and `vec a - vec b` are

A

parallel vectors

B

perpendicular vectors

C

zero vectors

D

None of these

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The correct Answer is:
B
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If vec a = 2 hat i - 3 hat j + 4 hat k , vec b = hat i + 2 hat j - hat k and vec c = 3 hat i - hat j + 2 hat k , then (i) find [vec a vec b vec c] (ii) find [ vec a + vec b vec b + vec c vec c + veca] .

If vec a = 7 hat i - 2 hat j + 3 hat k , vec b = hat i - hat j + 2 hat k and vec c = 3 hat i + 8 hat j , then find veca.(vec b xx vec c) and (vec a xx vec b) vec c . Also find whether veca.(vec b xx vec c) and (vec a xx vec b) vec c are equal.

If vec a = 2 hat i + 2 hat j + 3 hat k , vec b = - hat i + 2 hat j + hat k and vec c = 3 hat i + hat j are such that vec a + lambda vec b is perpendicular to vec c , then find the value of lambda .

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 .

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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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