Compute [ cc a & b -b & a ]+ [ ll a & b b & a ]

Find the scalar components and magnitude of the vector joining the points $P(x_1, y_1, z_1)$ and $Q(x_2, y_2, z_2).$

→

By using the properties of definite integrals, evaluate the integral $\int\limits_0^{2\pi } {{{\cos }^5}x} dx$

→

For the principal values, evaluate the following:
$\tan^{-1}\Big\{2\sin\Big(4\cos^{-1}\frac{\sqrt3}{2}\Big)\Big\}$

→

Differentiate the functions with respect to x.
$\cos(\sqrt{\text{x})}$

→

Evalute the following integrals:
$\int\frac{1+\tan\text{x}}{\text{x}+\log\sec\text{x}}\text{dx}$

→

If $\text{A}=\begin{bmatrix} 1 & -3 \\ 2 & 0 \end{bmatrix},$ write adj $A.$

→

A = {1, 2, 3, 4, 5, 6, 7, 8} and if R = {(x, y): y is one half of x; x, y ∈ A} is a relation on A, then write R as a set of ordered pairs.

→

Integrate the function in Exercise:$\text{e}^{3}\log\text{x}\big(\text{x}^{4}+1\big)^{-1}$

→

Find the components along the coordinate axis of the position vector of the following point:S(4,-3)

→

Find the angle at which the following vectors are inclined to each of the coordinate axes: $\hat{\text{i}}-\hat{\text{j}}+\hat{\text{k}}$

→

Answer