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

Write the condition for the lines $\vec{\text{r}}=\vec{\text{a}}_1+\lambda\vec{\text{b}}_1$ and $\vec{\text{r}}=\vec{\text{a}}_2+\mu\vec{\text{b}}_2$ to be intersecting.
→
Construct a 3 $\times$ 4 matrix, whose elements are given by $a_{ij} = 2i - j$
→
If $A = \left[ {\begin{array}{*{20}{c}} 1&2 \\ 4&2 \end{array}} \right]$, then show that |2A| = 4|A|
→
Evaluate $\cos\Big[\cos^{-1}\Big(\frac{-\sqrt{3}}{2}\Big)+\frac{\pi}{6}\Big]$
→
Find the maximum and minimum value of, h(x) = sin(2x) + 5
→
A balloon, which always remains spherical has a variables radius. Find the rate at which its volume is increasing with the radius when the later is $10 cm$.
→
If $\vec{\text{a}},\vec{\text{b}}$ are two vectors, then write the truth value of the following statement:$\big|\vec{\text{a}}\big|=\big|\vec{\text{b}}\big|\Rightarrow\vec{\text{a}}=\vec{\text{b}}$
→
Write the equation of the plane corntaining the lines $\vec{\text{r}}=\vec{\text{a}}+\lambda\vec{\text{b}}$ and $\vec{\text{r}}=\vec{\text{a}}+\mu\vec{\text{c}}$.
→
In answering a question on a multiple choice test, a student either knows the answer or guesses. Let $\frac{3}{4}$ be the probability that he knows the answer and $\frac {1}{4}$ be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability $\frac{1}{4}$. What is the probability that the student knows the answer given that he answered it correctly?
→
Form the differential equation from the following primitives where constants are arbitrart:$\text{y}^2=4\text{ax}$
→