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Vector Algebra · 2023 · 31 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

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JEE Main
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2023 · 31 Jan · Shift 2
Mathematics
Vector Algebra

Vector Algebra · 2023 · 31 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

Q23.Let $a = \hat{i} + 2 \hat{j} + 3 \hat{k}, b = \hat{i} - \hat{j} + 2 \hat{k}$ and $c = 5 \hat{i} - 3 \hat{j} + 3 \hat{k}$ be three vectors. If $r$ is a vector such that, $r \times b = c \times b$ and $r \cdot a = 0$ …
Mathematics · Vector Algebra · MCQ
Q42.Let $a, b, c$ be three vectors such that $∣ a ∣ = 31, 4∣ b ∣ = ∣ c ∣ = 2$ and $2 (a \times b) = 3 (c \times a)$ . If the angle between $b$ and $c$ is $\frac{2 π}{3}$ , then $(\frac{a \times c}{a \cdot b})^{2}$ …
Mathematics · Vector Algebra · Numerical