Find the magnitude of each of the two vectors and having the same magnitude such that the angle between them is 60° and their scalar product is 9/2.

Write the value of tan^–1(√3 ) – cot^–1(–√3 ).

If the matrix A = is skew symmetric, find the values of ‘a’ and ‘b’.

If a * b denotes the larger of ‘a’ and ‘b’ and if a∘b = (a*b) + 3, then write the value of (5)∘(10), where * and ∘ are binary operations.

Prove that : 3 sin^–1x = sin^–1 (3x – 4x³), x ∈ .