Consider a vector z defined by the equation z= (z1)(z2), where z1 =a +jb, z2 = c +jd?

a) show that hte length of z is the product of the lengths of z1 and z2.





b) show that the angle between z and the x axis is the sum of the angles made by z1 and z2 separately.

Consider a vector z defined by the equation z= (z1)(z2), where z1 =a +jb, z2 = c +jd?
hmmm... the vector multiplication is undefined here...





there are 3 kinds of multiplications involving vectors (sometimes with scalars) ...





A. scalar multiplication... an operation between a scalar and a vector...k(a + jb) = ka + jkb





B. dot multiplication or inner product ... a binary operation between two vectors whose result is a scalar number...





C. cross multiplication or cross product... a binary operation between two 3 dimensional vectors whose result is another vector...








Unless you mean a complex number...














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