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A vector of magnitude b is rotated throu...

A vector of magnitude b is rotated through angle `theta`. What is the change in magnitude of the vector?

A

`2b "sin"(theta)/(2)`

B

`2b "cos"(theta)/(2)`

C

`2b sin theta`

D

`2b cos theta`

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Knowledge Check

  • A vector of magnitude a is turned through angle theta . The magnitude of change in the vector is given by:

    A
    `|2a sin theta|`
    B
    `|2a sin theta //2|`
    C
    `|(a)/(2) sin theta|`
    D
    `|(a)/(2) sin theta //2|`

  • A vector of length l is turned through the angle theta about its tail. What is the change in the position vector of its head ?

    A
    `l cos (theta//2)`
    B
    `2l sin(theta//2)`
    C
    `2l cos(theta//2)`
    D
    `l sin (theta//2)`

  • Determine the magnitude of the vector sum, A + B.

    A
    5 units
    B
    15 units
    C
    20 units
    D
    30 units

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