1.1.32 Vector Algebra
Condition: Let two vectors \( \bar{a}=(2,-3,6) \quad \) and \( \bar{b}=(-1,2,-2) \) be plotted from one point. Determine the coordinates of the vector \( \bar{c} \), directed along the bisector of the angle between the vectors \( \bar{a} \) and \( \bar{b} \), provided that \( |\bar{c}|=3 \sqrt{42} \)
Vector algebra is a branch of algebra that studies linear operations on vectors and their geometric properties. In the section you will find problems on the decomposition of vectors, scalar, vector and mixed products, coordinates of vectors in different bases and much more.