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The projection of a vector vec(r ) = 3 h...

The projection of a vector `vec(r ) = 3 hat(i) + hat(j ) + 2 hat(k)` on the x-y plane has magnitude

A

3

B

4

C

`sqrt14`

D

`sqrt10`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-VECTORS-Practice Sheet (Exercise-III) (Multiplication of Vectors (Level-I)) (Straight Objective Type Questions)
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  2. The component of vec(A) along vec(B) is sqrt3 times that of the compon...

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  3. The projection of a vector vec(r ) = 3 hat(i) + hat(j ) + 2 hat(k) on ...

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  4. Find the component (projection) of (-I + j) in the direction of i

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  5. Projection of the vector 2 hat(i) + 3hat(j) + 2hat(k) on the vector ha...

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  6. If vec(a) = 2 hat(i) + 3hat(j) + 6hat(k) and vec(b) = 3hat(i) + 4hat(j...

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  7. A force of 2i + 3j + 2k N acts a body for 4s and produces a displaceme...

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  8. When a force (8i + 4j) newton displace a particle through (3i- 3j) met...

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  9. The cross product of the vectors (2i - 3j + 4k) and (I + 4j -5k) is

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  10. The scalar and vector products of two vectors are 48sqrt(3) and 144 re...

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  11. What is the condition for the vectors 2i + 3j - 4k and 3i - aj + bk to...

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  12. a, b are the magntidues of vectors vec(a) " & " vec(b). If vec(a) xx ...

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  13. If |vec(A)| = 4N, |vec(B)| = 3N the value of |vec(A) xx vec(B)|^(2) + ...

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  14. Find the angle between the vectors (-2i + 2j) and 3i

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  15. Find the value of (vec(a) + vec(b)) xx (vec(a) - vec(b))=

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  16. A Vector vec(P) points vertically downwards and another vector vec(Q) ...

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  17. The angle between (bar(A) xx bar(B)) and (bar(B) xx bar(A)) is (in rad...

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  18. Choose the false statement

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  19. (vec(a) - vec(b)) xx (vec(a) + vec(b)) is equal to

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  20. The vector vec(a) xx (vec(b) xx vec(a)) is

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