Find a vector parametric equation for the plane containing the points whose position vectors are

u = (1,−1, 0), v = (3, 0,−4) and w = (0, 2, 5).

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- Apr 27th 2012, 09:00 PMrcarronVector Parametric equation
Find a vector parametric equation for the plane containing the points whose position vectors are

u = (1,−1, 0), v = (3, 0,−4) and w = (0, 2, 5). - Apr 28th 2012, 12:18 AMearbothRe: Vector Parametric equation
- Apr 28th 2012, 12:24 AMProve ItRe: Vector Parametric equation
- Apr 28th 2012, 10:51 AMTheIntegratorRe: Vector Parametric equation
Find our direction vectors

u,w = (0-1, 2 - -1, 5-0) = (-1, 3, 5)

u,v = (3-1, 0 - -1, -4 -0) = (2, 1, -4)

Now that we found the direction vectors, we need only apply one of the three points we already have to find our equation of the plane

(x, y, z) = (1, -1, 0) + r(2, 1, -4) + s(-1, 3, 5)