Question

calcula la norma del siguiente vector v == rcosαsenβi + rsenαsenβj +
rcosβk.; r>0.

Answer 1

║v║√(rcosαsenβ)^2+(rsenαsenβ)^2+(rcosβ)^2
√r^2(cosα)^2(senβ)^2+r^2(senα)^2(senβ)^2+r^2(cosβ)^2
√r^2(senβ)^2((cosα)^2+(senα)^2)+r^2(cosβ)^2
√r^2(senβ)^2+r^2(cosβ)^2
√r^2((senβ)^2+(cosβ)^2)
√r^2=r