Question

three vectors A,B,C are related as A+B=C,if vector C is perpendicular to vector A and the magnitude of C is equal to the magnitude of A,what will be the angle between vectors A and B?

Answer 1

Hey MATE !

Since the vectors A and C are equal in magnitude and are perpendicular to each othe than the triangle formed by the vectors A, B And C would surely be a isosceles right angeled triangle.

(The figure is above.)

Therefore one angle is 90°.

Now surely the other 2 angles are 45° each as angles opposite to equal sides of a triangle are equal.

Therefore angle between A and B vector is 45°.

Hope it helps #))

Answer 2

mark as brainleist
from
the above triangle
A=C
A is perpendicular to C.
then the triangle is right angled.
for angle sum property,
we get sum of all angles in a triangle is equal to 180°.
angle between A and C is 90°.
so the other angles sum is 90°.
angles opposite to equal sides are equal.
therefore both angles are equal and each angle is equal to 45°.
hope it helps.
but bro the question is wrong.
A+B=C
A=C
then B must be zero no.