JEE Advanced Vector Algebra questions
4 Mathematics questions on Vector Algebra as asked in JEE Advanced, newest first.
- Let p = 2i + j + 3k and q = i - j + k. If for some real numbers α, β, and γ, we have 15i + 10j + 6k = α (2p + q ) + β (p - 2q ) + γ (p × q ), then the value of γ is ______.
2024
- Let overrightarrowOP = (α-1)/(α)i + j + k, overrightarrowOQ = i + (β-1)/(β)j + k and overrightarrowOR = i + j + 1/2k be three vectors, where α, β ∈ R - \0\ and O denotes the origin. If ( overrightarrowOP ×…
2024
- Let the position vectors of the points P, Q, R and S be a = i + 2j - 5k, b = 3i + 6j + 3k, c = 17/5i + 16/5j + 7k and d = 2i + j + k, respectively. Then which of the following statements is true?
2023
- Let P be the plane √(3)x + 2y + 3z = 16 and let S = \αi + βj + γk : α^2 + β^2 + γ^2 = 1 and the distance of (α, β, γ) from the plane P is 7/2 \. Let u, v and w be three distinct vectors in S such that |u - v| = |v - w|…
2023
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