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A vector of magnitude 7 units, parallel ...

A vector of magnitude 7 units, parallel to the resultant of the vectors `vec a = 2 hat i - 3 hat j - 2 hat k` and `vec b = - hat i + 2 hat j + hat k` and `vec c = - hat i + 2 hat j + hat k`

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Find a vector of magnitude 5 units, and parallel to the resultant of the vectors vec a = 2 hat i + 3 hat j - hat k and vec b = hat i - 2 hat j+ hat k

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Show that the vectors vec a = hat i - 2 hat j + 3 hat k, vec b = -2 hat i + 3 hat j - 4 hat k and vec c = hat i - 3 hat j + 5 hat k are coplanar.

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A unit vector perpendicular to the vectors veca = 2 hat i - 6 hat j - 3 hat k and vec b = 4 hat i + 3 hat j - hat k is

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NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-OBJECTIVE TYPE QUESTIONS
  1. If the vector 8 hat i + a hat j of magnitude 10 is in the direction of...

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  2. If 1/2, 1/3, n are the direction cosines of a line , then the values o...

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  3. A vector of magnitude 7 units, parallel to the resultant of the vector...

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  4. If the projections of vec(PQ) on OX , OY OZ are respectively 12, 3 and...

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  5. The unit vector in the direction of the sum of vectors hat i + hat j +...

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  6. If the points A and B are (1, 2, -1) and (2, 1, -1) respectively then ...

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  7. If |vec a| = 4 and -3 le lambda le 2 then the range of |lambda vec a|

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

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

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

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

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

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

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

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

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

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

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

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

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