Teachoo MCQ Test

CBSE Past Year MCQ Quiz

Chapter 10 Class 12 Vector Algebra | 3 questions

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Question 1 of 3
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Question 1 of 3
CBSE Board Exam 2026
If \((\vec{a}+\vec{b}) \cdot(\vec{a}-\vec{b})=198\) and \(|\vec{a}|=10|\vec{b}|\), then:
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Question 2 of 3
CBSE Board Exam 2026
Assertion \((A)\) : The vectors \(\overrightarrow{\mathrm{a}}\) and \((-2 \overrightarrow{\mathrm{a}})\), where \(\overrightarrow{\mathrm{a}} \neq \overrightarrow{0}\) are collinear vectors.
\(\operatorname{Reason}(R): \quad \overrightarrow{\mathrm{a}} \cdot(-2 \overrightarrow{\mathrm{a}})=0\).
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Question 3 of 3
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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