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Vector Algebra · 2023 · 8 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
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2023 · 8 Apr · Shift 1
Mathematics
Vector Algebra

Vector Algebra · 2023 · 8 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

Q38.If the points with position vectors $α \hat{i} + 10 \hat{j} + 13 \hat{k}, 6 \hat{i} + 11 \hat{j} + 11 \hat{k}, \frac{9}{2} \hat{i} + β \hat{j} - 8 \hat{k}$ are collinear, then $(19 α - 6 β)^{2}$ is equal to :
Mathematics · Vector Algebra · MCQ
Q43.Let $a = 6 \hat{i} + 9 \hat{j} + 12 \hat{k}, b = α \hat{i} + 11 \hat{j} - 2 \hat{k}$ and $c$ be vectors such that $a \times c = a \times b$ . If $a \cdot c = - 12, c \cdot (\hat{i} - 2 \hat{j} + \hat{k}) = 5$ …
Mathematics · Vector Algebra · Numerical