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Vector Algebra · 2024 · 31 Jan · Shift 1

3 Mathematics questions from this JEE Main paper

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JEE Main
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2024 · 31 Jan · Shift 1
Mathematics
Vector Algebra

Vector Algebra · 2024 · 31 Jan · Shift 1

3 Mathematics questions from this JEE Main paper

Q39.Let $a = 3 \hat{i} + \hat{j} - 2 \hat{k}, b = 4 \hat{i} + \hat{j} + 7 \hat{k}$ and $c = \hat{i} - 3 \hat{j} + 4 \hat{k}$ be three vectors. If a vectors $p$ satisfies $p \times b = c \times b$ and $p \cdot a = 0$ …
Mathematics · Vector Algebra · MCQ
Q42.The distance of the point $Q (0, 2, - 2)$ form the line passing through the point $P (5, - 4, 3)$ and perpendicular to the lines $r = (- 3 \hat{i} + 2 \hat{k}) + λ (2 \hat{i} + 3 \hat{j} + 5 \hat{k}), λ \in R$ and $r = (\hat{i} - 2 \hat{j} + \hat{k}) + μ (- \hat{i} + 3 \hat{j} + 2 \hat{k}), μ \in R$ …
Mathematics · Vector Algebra · MCQ
Q53.Let $a$ and $b$ be two vectors such that $∣ a ∣ = 1, ∣ b ∣ = 4$ , and $a \cdot b = 2$ . If $c = (2 a \times b) - 3 b$ and the angle between $b$ and $c$ is $α$ , then $192 sin^{2} α$ …
Mathematics · Vector Algebra · Numerical