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vector ˆ i − 3 ˆ j + 4 ˆ k .Find the ma...

vector ˆ i − 3 ˆ j + 4 ˆ k .Find the magnitude of the vector

A

There is exactly one choice for such `vecv`

B

There are infinitely many choices for such `vecv`

C

If `hatu` lies in the xy-plane, then `|u_1|=|u_2|`

D

If `hatu` lies in xz-plane, the `2|u_1|=|u_3|`

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MODERN PUBLICATION-EXCLUSIVELY FOR JEE(ADVANCED)-EXERCISE
  1. vector ˆ i − 3 ˆ j + 4 ˆ k .Find the magnitude of the vector

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  2. Let P be the image of the point (3, 1, 7) with respect to the plane x...

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  3. Given L, = {1,2, 3,4},M= {3,4, 5, 6} and N= {1,3,5} Find L-(M⋃N).

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  4. Given that N= {1,2,3, …, 100}. Then write (i) the subset of N whose el...

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  5. In R^3, consider the planes: P1: y=0 and P2:x+z=1. Let P3 be a plane, ...

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  6. In R^3, let L be a straight line passing throughthe origin. Suppose th...

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  7. Let vecx, vecy and vecz be three vectors, each of magnitude sqrt2 and ...

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  8. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

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  9. Let vecA be vector parallel to line of intersection of planes P1 and P...

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  10. Let alpha=ahati+bhatj+chatk,beta=bhati+chatj+ahatk and gamma=chati+aha...

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  11. If veca= x hati+yhatj+zhatk, vecb= yhati+zhatj+xhatk, vecc=zhati+xhatj...

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  12. Let veca and vecb be two non- zero perpendicular vectors. A vector vec...

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  13. Let a plane pass through orogin and is parallel to the line: (x-1)/2=(...

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  14. A non-zero vectors a is parallel to the line of intersection of the pl...

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  15. For two events A and B, let P(A)=3/5, P(B)=2/3, then which of the foll...

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  16. If A and B are two events such that P(B)ne1, B^c denotes the event com...

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  17. Suppose that vecp, vecq and vecr are three non-coplanar vectors in R^3...

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  18. Let veca,vecb and vecc be three non-coplanar unit vectors such that th...

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  19. The square of the shortest distance between the lines : vecr=s(hati-ha...

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  20. Write the set A={x:x is an integer,−1≤x≤4} in roster form.

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