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प्रश्न
Find the scalar components and magnitude of the vector joining the points `P(x_1, y_1, z_1) and Q (x_2, y_2, z_2).`
उत्तर
Here `vec(PQ)` = p.v. of Q - p.v. of P
`= (x_2 hati + y_2hatj + z_2hatk) - (x_1 hati + y_1 hatj + z_1hatk)`
`= (x_2 - x_1)hati + (y_2 - y_1)hatj + (z_2 - z_1)hatk`
The scalar components of `vec(PQ)` are:
`x_2 - x_1, y_2 - y_1, z_2 - z_1`
Magnitude of `vec(PQ) = |vec(PQ)|`
`= sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2).`
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