Download App

Vector Algebra — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsVector Algebra1 Mark
Question
If $\theta $ is the angle between two vectors$\;\vec a\;$and $\vec b$, then $\vec a.\vec b \geq 0$ only when
✓

Answer

$\vec a.\vec b=|\vec a||\vec b|cos\theta$,
Also, $\vec a .\vec b \geq 0$
$\Rightarrow |\vec a||\vec b|cos\theta \Rightarrow cos\theta\leq 0\Rightarrow 0\leq\theta\leq\frac{\pi}{2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "1 Marks" from Vector Algebra→Vector Algebra — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $\vec{a}$ is a vector and $m$ is a scalar quantity and $m \vec{a}=\overrightarrow{0}$ then what alternative values of $\vec{a}$ and $m$ are possible?
→
If P(A) = 0.8, P (B) = 0.5 and P(B|A) = 0.4, find P(A|B)
→
Prove that $ \cos ^ { - 1 } \left( \frac { 4 } { 5 } \right) + \cos ^ { - 1 } \left( \frac { 12 } { 13 } \right) = \cos ^ { - 1 } \left( \frac { 33 } { 65 } \right).$
→
The area bounded by the curve y = x|x|, x-axis and the ordinates x = -1 and x = 1 is given by
→
Integrate the functions in Exercises:
$\text{e}^{2\text{x}+3}$
→
If $\text{A}[\text{a}_{\text{ij}}]=\begin{bmatrix}2&3&-5\\1&4&9\\0&7&-2\end{bmatrix}$ and $\text{B}=[\text{b}_\text{ij}]=\begin{bmatrix}2&-1\\-3&4\\1&-2\end{bmatrix}$
Then find a22 + b21
→
Write the order of the differential equation $1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}=7\Big(\frac{\text{d}^{2}}{\text{dx}^{2}}\Big)^{3}.$ 
→
Examine if Rolles/ theorem is applicable to any of the following functions. Can you say something about the converse of Rolle’s theorem from these examples:
$\text{f} (\text{x}) = [\text{x}] \text{ for} \text{ x}\in [ 5, 9 ]$
→
If $\begin{bmatrix} 3 \text{x}& 7 \\[0.3em] -2 & 4\\[0.3em] \end{bmatrix} = \begin{bmatrix} 8 & 7 \\[0.3em] 6 & 4\\[0.3em] \end{bmatrix}, $find the value of x.
→
Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\frac{\text{d}^2\text{y}}{\text{dx}^2}+3\Big(\frac{\text{dy}}{\text{dx}}\Big)^2=\text{x}^2\log\Big(\frac{\text{d}^2\text{y}}{\text{dx}^2}\Big)$
→