Related InterviewSolutions

• If ` vec a , vec b , vec c`are three mutually perpendicular vectors of equalmagniltgude, prove that ` vec a+ vec b+ vec c`is equally inclined with vectors ` vec a , vec b , a n d vec cdot`also find the angle.
• If ` vec a`and ` vec b`are two vectors such that `| vec a|=4,| vec b|=3`and ` vec adot vec b=6`. Find the angle between ` vec a`and ` vec b`.
• Find the angles of a triangle whose verticesare `A(0,-1,-2),B(3,1,4)`and `C`(5,7,1).
• If ` hat a`and ` hat b`are unit vectors inclined at an angle `theta`, then prove that`costheta/2=1/2| hat a+ hat b|``tantheta/2=1/2|( hat a- hat b)/( hat a+ hat b)|`