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A vector is not changed if...

A vector is not changed if

A

it is displaced parallel to itself

B

it is rotated through an arbitrary angle

C

it is cross-multiplied by a unit vector.

D

it is multiplied by an arbitrary scalar.

Text Solution

Verified by Experts

The correct Answer is:
A
When a vector is displaced parallel to itself, neither its magnitude nor its direction changes.
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A2Z-VECTORS-Chapter Test
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  2. The magnitude of vector vec(A),vec(B) and vec(C ) are respectively 12,...

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  3. The angle between the two vector vec(A)= 5hat(i)+5hat(j) and vec(B)= 5...

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  4. Angle between the vectors (hat(i)+hat(j))and (hat(j)-hat(k)) is

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  5. If the resultant of n forces of different magnitudes acting at a point...

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  6. Find the resultant of the three vectors vec(OA), vec(OB) and vec(OC) s...

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  7. A person goes 10 km north and 20 km east. What will be displacement fr...

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  8. Let vec(C )= vec(A)+vec(B) then

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  9. In figure, vec(E ) equals

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  10. A scooter going due east at 10 ms^(-1) turns right through an angle of...

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  11. Given that vec(A)+vec(B)=vec(C ) and that vec(C ) is perpendicular to ...

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  12. The component of a vector r along X-axis will have maximum value if

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  13. A particle moves so that its position vector varies with time as vec(r...

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  14. hat(e )(r) is unit Vector along radius of a circle shown in figure hat...

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  15. A vector of magnitude 10 N acting in X-Y-plane has componets 8 N and 6...

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  16. A particle P is acted by three coplanar forces as shown in the figure ...

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  17. A person moves 30 m north, then 30 m, then 20 m towards east and final...

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  18. A particle moves from position 3hat(i)+2hat(j)-6hat(k) to 14hat(i)+13h...

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  19. Normal reaction N is a force exerted by the surface on the block perpe...

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  20. Weight mg of a block is a force acting downward toward centre of the e...

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  21. Three forces are acting on a particle as shown in the figure. To have ...

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