a unit vector which is equally inclined to vectors i, -2i+j+2k/3 and -4j-3k/5 is - Maths - Coordinate Geometry

Question

a unit vector which is equally inclined to vectors i,
-2i+j+2k/3 and -4j-3k/5 is

Shobhit Mittal · Accepted Answer

let unit veactor makes the equal angle θand the unit vector be ai+bj+cka2+b2+c2=1i
ai+bj+ck1=-2i+j+2k3 ai+bj+ck4+1+49=-4j-3k5
ai+bj+ck16+925a=-6a+3b+2c7=-20b-3c409solve the above eqn and get the value of a,b,cRegards