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A plane p(1) is parallel to two vectors ...

A plane `p_(1)` is parallel to two vectors `2j + 3k` and `4j-3k`. Another plane `p_(2)` is parallel to two other vectors `j-k` and `3i +3j`. A vector a is parallel to the line of intersection of the given planes. The angle between a and a given vector `2i+2j-k` is :

A

`(pi)/(4)`

B

`(3pi)/(4)`

C

`(pi)/(2)`

D

`(pi)/(6)`

Text Solution

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The correct Answer is:
A, B
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
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  3. A plane p(1) is parallel to two vectors 2j + 3k and 4j-3k. Another pla...

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  4. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(ve...

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  5. Let the pair of vector veca,vecb and vecc,veccd each determine a plane...

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  6. In cartesian co-ordinates the points A is (x(1), y(1)) where x(1) = 1 ...

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  7. Vectors a and b makes an angle theta = (2pi)/(3) If |a| = 1, |b| = ...

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  8. Let veca, vecb, vec c form sides BC, CA and AB respectively of a tria...

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  10. (r.i) (rxxi) + (r.j)(rxxx\j) + (r.k)(rxxk) is equal to

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  11. If a + 2b + 3c= 0, then axxb + bxxc+c xxa is equal to

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  12. If veca=4i+6jand vecb=3j+6k vector form of the component of a along b ...

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  13. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

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  14. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  15. a =hati +hatj-hatk, b = hati -2hatj +hatk, c = hati -hatj-hatk, then a...

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  16. Projection of the vector 2i+3j-2k on the vector i+2j+3k is

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  17. If a = 2i+j+2k, b=5i-3j+k, then orthogonal projection vector of a and ...

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  18. Given two vectors a = 2i -3j+6k, b=2i+2j-k and p = ("the projection of...

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  19. Show that the vector of magnitude sqrt(51) which makes equal anges wit...

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  20. In a parallelopiped the ratio of the sum of the squares on the four d...

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