Question 1303e

Vectors II: Lines and Planes
Cartesian and Vector Equation of a Plane

Question

Plane p{p} is given by the equation
p:r=(4−43)+λ(−32−4)+μ(23−5),  λ,μ∈R.p: \mathbf{r} = \begin{pmatrix} 4 \\ - 4 \\ 3 \end{pmatrix} + \lambda \begin{pmatrix} - 3 \\ 2 \\ - 4 \end{pmatrix} + \mu \begin{pmatrix} 2 \\ 3 \\ - 5 \end{pmatrix}, \; \lambda,\mu \in \mathbb{R}.
Express the equation of the plane p{p} in scalar product form r⋅n=k.{\mathbf{r}\cdot \mathbf{n} = k.}

Attempt

p:{p: }
r⋅{\mathbf{r}\cdot}
({\Biggl(}
){\Biggr)}
={=}

Answer

Question Progress

  • Start
  • Mastery
about questions progress