Mathematics · 2022
JEE Main · 29 July 2022, Shift 2 · Q15
If (2,3,9),(5,2,1),(1, λ, 8) and (λ, 2,3) are coplanar, then the product of all possible values of λ is:
If $\displaystyle (2,3,9),(5,2,1),(1, \lambda, 8)$ and $\displaystyle (\lambda, 2,3)$ are coplanar, then the product of all possible values of $\displaystyle \lambda$ is :
Official answer
(4)
$\displaystyle \frac{95}{8}$
More from Vectors
- Let a= i- j+2 k and let b be a vector such that a × b=2 i- k and a · b=3. Then the projection of b on the vector a- b is:2022
- Let S be the set of all a ∈ R for which the angle between the vectors u=a( log_e b) i-6 j+3 k and v=( log_e b) i+2 j+2 a( log_e b) k,(b>1) is acute.…2022
- If (1,5,35),(7,5,5),(1, λ, 7) and (2 λ, 1,2) are coplanar, then the sum of all possible values of λ is:2021
- Let a= i+ j+ k, b=2 i+2 j+ k and d= a × b. If c is a vector such that a · c=| c|, | c-2 a|^2=8 and the angle between d and c is (π)/4, then |10-3 b ·…2025
- Let the volume of a parallelopiped whose coterminous edges are given by u= i+ j+λ k, v= i+ j+3 k and w=2 i+ j+ k be 1 cu. unit. If θ be the angle…2020
- Let a, b, c be three vectors mutually perpendicular to each other and have same magnitude. If a vector r satisfies a ×{( r- b) × a}+ b ×{( r- c) ×…2021
- Let a, b and c be distinct positive numbers. If the vectors a i+a j+c k, i+ k and c i+c j+b k are co-planar, then c is equal to:2021
- Let the arc AC of a circle subtend a right angle at the centre O. If the point B on the arc AC, divides the arc AC such that (length of arc…2025
JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.