Question #218136
(2.1) Find the components of a unit vector satisfying ~v
1
Expert's answer
2021-07-19T05:48:32-0400

2.1) Let the vector v=x,y.\vec v = \langle x, y \rangle.

Given

v3,1=0\vec v \cdot \langle3, -1 \rangle = 0

Then


3xy=03x-y=0

The vector v=x,3x,xR\vec v = \langle x, 3x\rangle, x\in \R

For example


x=1,v=1,3.x=1, \vec v=\langle1, 3\rangle.


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