PYQ Vault

Day 287: CBSE Class 12 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Vector Algebra. Asked once: 2023

    25
    If a⃗=4i^−j^+k^\vec{a} = 4\hat{i} - \hat{j} + \hat{k} and b⃗=2i^−2j^+k^\vec{b} = 2\hat{i} - 2\hat{j} + \hat{k}, then find a unit vector along the vector a⃗×b⃗\vec{a} \times \vec{b}.

  2. Question 2

    Vector Algebra. Asked once: 2023

    13
    If a⃗⋅i^=a⃗⋅(i^+j^)=a⃗⋅(i^+j^+k^)=1\vec{a} \cdot \hat{i} = \vec{a} \cdot (\hat{i} + \hat{j}) = \vec{a} \cdot (\hat{i} + \hat{j} + \hat{k}) = 1, then a⃗\vec{a} is

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  3. Question 3

    Vector Algebra. Asked once: 2023

    14
    The magnitude of the vector 6i^−2j^+3k^6\hat{i} - 2\hat{j} + 3\hat{k} is

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  4. Question 4

    Vector Algebra. Asked once: 2023

    5
    If in ΔABC\Delta ABC, BA→=2a⃗\overrightarrow{BA} = 2\vec{a} and BC→=3b⃗\overrightarrow{BC} = 3\vec{b}, then AC→\overrightarrow{AC} is

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  5. Question 5

    Vector Algebra. Asked once: 2023

    10
    If a⃗+b⃗=i^\vec{a} + \vec{b} = \hat{i} and a⃗=2i^−2j^+2k^\vec{a} = 2\hat{i} - 2\hat{j} + 2\hat{k}, then ∣b⃗∣|\vec{b}| equals :

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