Question:
\(\ \left|\ \vec{i}-2\vec{j}+2\vec{k}\ \right|=\) ?
\(\ \left|\ \vec{i}-2\vec{j}+2\vec{k}\ \right|=\) ?
Show Hint
Length of \((a,b,c)\) is \(\sqrt{a^{2}+b^{2}+c^{2}}\).
Updated On: Oct 17, 2025
- \(3\)
- \(6\)
- \(7\)
- \(5\)
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Magnitude of \((1,-2,2)\):
\[
\sqrt{1^{2}+(-2)^{2}+2^{2}}=\sqrt{1+4+4}=\sqrt{9}=3.
\]
Was this answer helpful?
0
0
Top Bihar Board XII Mathematics Questions
- \(\frac{d}{dx} \left(\sec^2 x - \tan^2 x\right)\)
- \(\frac{d}{dx} \left( e^{2x} + 2e^x \right)\)
- \(\frac{d}{dx} \left[ \lim_{x \to a} \frac{x^n + a^n}{x + a} \right] \)
- \(\frac{d}{dx} \left( \sin^{-1} 2x \right)\)
- \(\frac{d}{dx} \left[ (x+2)(x^2 - 2x + 4) \right] \)
View More Questions
Top Bihar Board XII Vector Algebra Questions
- Find the magnitude of the vector \[ \left| \mathbf{i} - \mathbf{j} - 3 \mathbf{k} \right|. \]
- Find the square of the vector \[ (4\mathbf{i} + 3\mathbf{j})^2. \]
- Find the dot product of the vectors \[ (7\mathbf{i} - 8\mathbf{j} + 9\mathbf{k}) \cdot (\mathbf{i} - \mathbf{j} + \mathbf{k}). \]
- Evaluate the following expression: \[ \mathbf{i} \cdot \mathbf{i} + \mathbf{i} \cdot \mathbf{j} + \mathbf{j} \cdot \mathbf{j} + \mathbf{j} \cdot \mathbf{k} + \mathbf{k} \cdot \mathbf{k} \]
- Find the dot product of the vectors \[ (11\mathbf{i} + \mathbf{j} + \mathbf{k}) \cdot (\mathbf{i} + \mathbf{j} + 11\mathbf{k}). \]
View More Questions
Top Bihar Board XII Questions
- Which metal was first used by humans?
- Where is the Harappan site called Shortughai located?
- Where has the evidence of dockyard been found from Indus Valley Civilization?
- Which is referred to as Meluhha in Mesopotamian texts?
- Where have miniature pots of faience probably used as perfume bottles been found?
View More Questions