the resultant of two vectors `vec(a) & vec(b)` is perpendicular to `vec(a)`. If `|vec(b)| = sqrt(2)|vec(a)|` show that the resultant of `2vec(a) &vec(b)` is perpendicular to `vec(b)` .

If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |vec(a)| , then prove tat 2vec(a) + vec(b) is perpendicular to vec(b) .

If vec(a) and vec(b) are perpendicular vectors |vec(a) + vec(b)| = 13 and |vec(a)| = 5 , find the value of |vec(b)|

If vec(A) and vec(B) are perpendicular then vec(A) . vec(B)= . . . .

The resultant vec(C ) of vec(A) and vec(B) is perpendicular to vec(A) . Also, |vec(A)|=|vec(C )| . The angle between vec(A) and vec(B) is

The resultant and dot product of two vectors vec(a) and vec(b) is equal to the magnitude of vec(a) . Show that when the vector vec(a) is doubled , the new resultant is perpendicular to vec(b) .