Question

Given B= (z-3y)x + (2x -3z)y-(x+y)z , find the unit vector parallel to B at point P = (1,0,-1)​

Answer 1

Answer:

3((x+4y)a+(2x+y+1)b)=2((y−2x+2)a+(2x−3y−1)b)

as a & b are not collinear

(3x+12y)a+(6x+3y+3)b=((2y−4x+4)a+(4x−6y−2)b)

3x+12y=2y−4x+4

7x+10y=4      -(1)

6x+3y+3=4x−6y−2

2x+9y=−5       -(2)

Solving (1) and (2) we get,

x=2       y=−1