Question

if a vector X is represented as [xsinθi +ysinθj] then another vector Y which is normal to X can be represented as

Answer 1

Answer on Question #83111 – Math – Analytic Geometry

Question

If a vector $X$ is represented as $[x\sin\theta i + y\sin\theta j]$ then another vector $Y$ which is normal to $X$ can be represented as

Solution

Normal vector: $Y = [i, kj]$.

$$X \cdot Y = 0 \rightarrow x \sin \theta + k y \sin \theta = 0 \rightarrow k = -\frac{x}{y}.$$ $$Y = \left[1, -\frac{x}{y}\right].$$

Answer: $Y = \left[1, -\frac{x}{y}\right]$.

Answer provided by https://www.AssignmentExpert.com