Question

If a and b are two non collinear unit vectors ,the resultant of sum of a and has unit magnitude then the resultant difference of a and b has magnitude of

Answer 1

Answer:

If vector u and vector v are non-collinear vectors show that vector u, vector u cross product vector v and (vector u cross product vector v) cross product vector u are mutually othogonal.

Answer 2

Solution:

• Here they said that the resultant of the sum of a and has unit magnitude,

                             $a+b=1$

• Therefore, in addition, we have to take cos

                     $2cos$θ$/2=1$

                     $cos$θ$/2=\frac{1}{2}$

                        θ$/2=\frac{\pi }{3}$

• For difference, we have to take in,

         $2sin$θ$/2=2\frac{\sqrt{3} }{2}$

                       $=\sqrt{3}$

∴ answer is $=\sqrt{3}$

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