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qUESTIONS

The position vector of a particle is r=a[cosωtî+sinωtĵ]. The velocity of the particle is

There are two force vectors, one of 5 N and other of 12 N at what angle the two vectors be added to get resultant vector of 17 N, 7 N and 13 N respectively

The angle between the two vectors Ā = 3î + 4ĵ + 5k̂ and B̅ = 3î + 4ĵ – 5k̂ will be

The unit vector parallel to the resultant of the vectors Ā = 4î + 3ĵ + 6k̂ and B̅ = -î + 3ĵ – 8k̂ is

A truck travelling due north at 20 m/s turns west and travels at the same speed. The change in its velocity be

The angle made by the vector A = î + ĵ with x- axis is

A vector is represented by 3î + ĵ + 2k̂. Its length in XY plane is

The expression ( 1/((√2))î + 1/((√2))ĵ ) is a

The vector that must be added to the vector î – 3ĵ + 2k̂ and î – 3ĵ + 2k̂ so that the resultant vector is a unit vector along the y-axis is

If Ā =2î + 4ĵ – 5k̂ the direction of cosines of the vector Ā are

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