Question

Consider the vectors, 𝑎⃗ = 5.0𝑖̂+ 4.0𝑗̂− 6.0𝑘̂, 𝑏⃗⃗ = −2.0𝑖̂+ 2.0𝑗̂+ 3.0𝑘̂ and 𝑐⃗ =

4.0𝑖̂+ 3.0𝑗̂+ 2.0𝑘̂.

1.1. Find the vector perpendicular to 𝑎⃗ and 𝑐⃗.________________________________________

Answer 1

$\vec r=\begin{vmatrix} \vec i&\vec j&\vec k \\ 5 & 4&-6 \\ 4 & 3&2 \end{vmatrix}=26\vec i-34\vec j-\vec k.$