If the projections ofvector ` vec a`on `x`-, `y`- and `z`-axes are 2, 1 and 2 units,respectively, find the angle at which vector ` vec a`is inclined to the `z`-axis.

If the projections ofvector ` vec a`on `x`-, `y`- and `z`-axes are 2,

1.	If the projections ofvector ` vec a`on `x`-, `y`- and `z`-axes are 2, 1 and 2 units,respectively, find the angle at which vector ` vec a`is inclined to the `z`-axis.
Answer» Since projections of vector `veca` on x-, y- and z-axes are 2, 1 and 2 units, respectively, we have `" ""Vector "veca=2hati+hatj+2hatk` `" "\|veca\|=sqrt(2^(2)+1^(2)+2^(2))=3` Then `cosgamma=(2)/(3)` (where `gamma` is the angle of vector `veca` with the z-axis), i.e., `" "gamma=cos^(-1)""(2)/(3)`

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