For any two non-zero vectors, write the value of | a + b |^2+ | a - b |^2 | a |^2+ | b |^2 .

We have | a + b |^2+ | a - b |^2 | a |^2+ | b |^2 = | a |^2+ | b |^2+2 a . b +| a |^2+ | b |^2-2 a . b | a |^2+ | b |^2 = 2 (| a |^2+ | b |^2 ) | a |^2+ | b |^2 =2

For any two non-zero vectors, write the value of | a + b |^2+

Find the identity element in the set I⁺ of all positive integers defined by a * b = a + b for all a, b ∈ I⁺.

→

If A is a skew-symmetric matrix of order 3, then prove that det A = 0.

→

Write the coefficient a, b, c of which the value of the integral $\int\limits^3_{-3}(\text{ax}^2+\text{bx}+\text{c})\text{dx}$ is independent.

→

Show that $\left[\begin{array}{rr} {5} & {-1} \\ {6} & {7} \end{array}\right]\left[\begin{array}{ll} {2} & {1} \\ {3} & {4} \end{array}\right] \neq\left[\begin{array}{ll} {2} & {1} \\ {3} & {4} \end{array}\right]\left[\begin{array}{rr} {5} & {-1} \\ {6} & {7} \end{array}\right]$

→

Find $\frac{d y}{d x}$ of the function xy = e^{(x – y)}

→

The mean of a binomial distribution is 10 and its standard deviation is 2; write the value of q.

→

Evaluate the definite integral in Exercise:

$\int\limits_0^{\frac{\pi}{4}}\sin2\text{x}\ \text{dx}$

→

If $y=\sqrt{\sin x+y}$, then find $\frac{d y}{d x}$.

→

If A = [A_ij] is a 3 × 3 diaginal matrix such that a₁₁ = 1, a₂₂ = 2, a₃₃ = 3, then find |A|.

→

Find the angle betwwen two vectors $\vec{\text{a}}$ and $\vec{\text{b}}$ if

$|\vec{\text{a}}|=3,\big|\vec{\text{b}}\big|=3$ and $\vec{\text{a}}.\vec{\text{b}}=1$

→

Answer

Need a full question paper?

Explore more

Similar questions

Scalar Or Dot Product — Maths STD 12 Science — Question

Answer

Need a full question paper?

Explore more

Similar questions