Practicing Success
Practicing Success
CUET Preparation Today
If the vectors $\vec a=\hat i-\hat j +2\hat k, \vec b=2\hat i+4\hat j+\hat k$ and $\vec c =λ\hat i+\hat j+μ\hat k$ are mutually orthogonal, then $(λ, μ) =$ |
(-2, 3) (3, -2) (-3, 2) (2, -3) |
(-3, 2) |
We have, $\vec b.\vec c=0$ and $\vec a.\vec c=0$ $⇒2λ+ 4+μ=0$ and $λ-1 + 2μ = 0$ $⇒2λ+μ+4=0$ and $λ+2μ-1=0$ $⇒λ=-3$ and $μ = 2$ |
