a vector r is inclined at equal acute angle to x,y,zaxes if modulus of r=6, then find vector 'r' ?
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A/q vector 'r' inclined at equal angles to all the axis
so cos²Ф + cos²Ф + cos²Ф = 1
[ sum of square of direction cosines equal to 1 ]
cos²Ф = 1/3 ⇒ cosФ = 1/√3
now r vector = | r | ( +- i/√3 +- j/√3 +- 1/√3)
r vector = +-6/√3 i +- 6/√3 j +- 6/√3 k
If any queries, then do ask.
so cos²Ф + cos²Ф + cos²Ф = 1
[ sum of square of direction cosines equal to 1 ]
cos²Ф = 1/3 ⇒ cosФ = 1/√3
now r vector = | r | ( +- i/√3 +- j/√3 +- 1/√3)
r vector = +-6/√3 i +- 6/√3 j +- 6/√3 k
If any queries, then do ask.
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