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(Solved): Using the definition of the scalar product, find the angle between the following vectors. (Find the ...
Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest nonnegativ angle.) (a) \( \vec{A}=4 i-9 \mathbf{j} \) and \( \vec{B}=8 \hat{i}-5 \mathbf{j} \) (b) \( \vec{A}=-4 \hat{i}+5 \mathbf{j} \) and \( \vec{B}=3 \hat{i}-4 \hat{j}+2 \hat{k} \) (c) \( \vec{A}=\hat{i}-2 \hat{j}+\hat{2} \hat{k} \) and \( \vec{B}=3 \hat{j}+4 \hat{k} \)
Expert Answer
Dot product of two vectors A? and B? is given by, A?.B?=|A?||B?|cos?? then, angle b/w the vectors is ?=cos?1(A?.B?|A?||B?|)