Do `barA + barB and barA - barB` lie the same plane?

If |barA + barB| = |barA - barB| then prove that the angle between A & B is 90^@ .

If bara and barb are unit vectors and theta is the angle between them, show that frac(1)(2)[bara-barb] = sin frac(theta)(2)

IF |bar A+barB=bar A-.barB| what is the angle between barAandbarB?

IF |bar AXbarB=barA.barB| what is the angle between barA and bar B ?

An object is placed at a distance of 25 cm from a convex mirror. A plane mirror is placed such that the two images formed by the two mirrors are in the same plane. The distance of the plane mirror from the object at this position is 20 cm. Calculate the radius of the convex mirror.

A tower makes an angle of 60^@ at a point P lying in the same plane. From a point Q which is at a vertical distance of 10m from P, the angle of depression of the floor of the tower is 30^@ .Find the height of the tower.

If Fig.6.44 ABC and DBC are two triangles on the same base BC.If AD intersects BC atb O,show that (ar(ABC))/(ar(DBC))=(AO)/(DO)

Are the magnitude and direction of (barA - barB) same as that of (barB- barA) ?

The magnitudes, of the two vectors A and B are both not equal to zero but barA.barB=0Then the angle between the vectors is (in degrees).