Using principal value, evaluate the following: sin-1 sin3π5
If the binary operation * on the set of integers Z, is defined by a * b = a + 3b2 , then find the value of 2 * 4.
If A is an invertible matrix of order 3 and |A| = 5, then find |adj. A|.
If matrix A = (1, 2, 3), write AA’, where A’ is the transpose of matrix A.
Write the value of the determinant 2 3 4 5 6 86x 9x 12x
∆ = 2 3 45 6 86x 9x 12xR3 → 13xR3∆ = 2 3 45 6 82 3 4Now, R1 =R3 ∴ ∆ = 0
Evaluate: ∫sec2 7 - x dx
If ∫01 3x2 + 2x + k dx = 0 , find the value of k.
Find the projection of a→ on b→ if a→. b→ =8 and b→ = 2i^ + 6j^ + 3k^
Write a unit vector in the direction of b→ = 2i^ + j^ + 2k^.
Write the value of p for which a→ = 3i^ + 2j^ + 9k^ and b→ = i^+pj^ +3k^ are parallel vectors.