Download App

Algebra of Vectors — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Vectors2 Marks
Question
Find the magnitude of the vector $\vec{\text{a}}=2\hat{\text{i}}+3\hat{\text{j}}-6\hat{\text{k}}$.
✓

Answer

Given: $\vec{\text{a}}=2\hat{\text{i}}+3\hat{\text{j}}-6\hat{\text{k}}$$\therefore$ Magnitude of the vector $=\big|\vec{\text{a}}\big|=\sqrt{2^2+3^2+(-6)^2}$
$=\sqrt{4+9+36}$
$=\sqrt{49}$
$=7$

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 "2 Marks Questions" from Algebra of Vectors→Algebra of Vectors — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\text{s}^2\frac{\text{d}^2\text{t}}{\text{ds}^2}+\text{st}\frac{\text{dt}}{\text{ds}}=\text{s}$
→
Evaluate the following:
$\sec^{-1}\Big(\sec\frac{13\pi}{4}\Big)$
→
Write necessary condition for a point x = c to be an extreme point of the function f(x).
→
Evaluate the following:
$\sin^{-1}(\sin2)$
→
Evaluate the following integrals:
$\int\limits^{2}_0\text{x}[\text{x}]\text{dx}$
→
Find $\frac{d y}{d x}$, If $y = \cos^{–1} \left(\frac{1-x^{2}}{1+x^{2}}\right), 0 < x < 1$
→
Evaluate:
$\int\frac{\text{e}^{6\log_\text{e}\text{x}}-\text{e}^{5\log_\text{e}\text{x}}}{\text{e}^{4\log_\text{e}\text{x}}-\text{e}^{3\log_\text{e}\text{x}}}\text{dx}$
→
If $I_3$ denotes identity matrix of order $3 \times 3$, write the value of its determinant.
→
Construct a $2 \times 3$ matrix $A=\left[a_{i j}\right]$ whose elements $a_{i j}$ are give by:
$a_{i j}=i . j$
→
For the principal values, evaluate the following:
$\sec^{-1}\big(\sqrt2\big)+2\text{cosec}^{-1}\big(-\sqrt2\big)$
→