The line $l$ has equation $r = 10 - 1 + λ 21 - 2$ . The plane $p$ has equation $2 x - y + z = 4$ . Find the acute angle between $l$ and $p$ .

Practise more Vectors in 3D Space and Complex Numbers.

Free questions with an explanation for every one, and full timed Singapore GCE A-Level mock tests.

All Vectors in 3D Space and Complex Numbers questions Take a mock test

More Vectors in 3D Space and Complex Numbers questions

Find the Cartesian equation of the plane passing through the point $(1, 2, - 1)$ with normal vector…
Let $z = - 1 + i 3$ . Express $z$ in polar exponential form $r e^{i θ}$ where $- π < θ \leq π$ .
Find the vector cross product $a \times b$ where $a = 123$ and…
Find the perpendicular distance from the point $P (2, 1, 4)$ to the plane $Π : x + 2 y - 2 z = 5$ .
If $w$ is a non-real root of $z^{3} = 1$ , find the value of $(1 + w) (1 + w^{2})$ .
Find the magnitude of the vector $2 i - j + 2 k$ .