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Short Quiz - Chapter 10 Class 12 Vector Algebra

Chapter 10 Class 12 Vector Algebra | 5 questions

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Question 1 of 5
Question 1 of 5
CBSE Board Exam 2024
If \(\vec{a}=2 \hat{i}-\hat{j}+\hat{k}\) and \(\vec{b}=\hat{i}+\hat{j}-\hat{k}\), then \(\vec{a}\) and \(\vec{b}\) are:
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Question 2 of 5
CBSE Board Exam 2025
If \(\vec{p}\) and \(\vec{q}\) are unit vectors, then which of the following values of \(\vec{p} \cdot \vec{q}\) is not possible?
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Question 3 of 5
CBSE Board Exam 2025
If projection of \(\vec{a}=\alpha \hat{i}+\hat{j}+4 \hat{k}\) on \(\vec{b}=2 \hat{i}+6 \hat{j}+3 \hat{k}\) is 4 units, then \(\alpha\) is
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Question 4 of 5
CBSE Board Exam 2024
If \(|\overrightarrow{\mathrm{a}}|=2\) and \(-3 \leq \mathrm{k} \leq 2\), then \(|\mathrm{k} \overrightarrow{\mathrm{a}}| \in\) :
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Question 5 of 5
CBSE Board Exam 2026
For two vectors \(\vec{a}\) and \(\vec{b}\)
Assertion (A) : \(|\vec{a} \times \vec{b}|^2+(\vec{a} \cdot \vec{b})^2=|\vec{a}|^2|\vec{b}|^2\)
Reason (R): : \(|\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}|=(\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{b}}) \tan \theta,\left(\theta \neq \frac{\pi}{2}\right)\)
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