Distance between a point and a plane (vectors) (KristaKingMath)

► My Vectors course: www.kristaking...
Learn how to find the distance between a point and a plane. Use the distance formula for the component of b along n, where b is the vector between a point in the plane and the given coordinate point, and where n is the normal vector to the plane. The distance formula takes the dot product of the normal vector and the vector b, but simplifies to a formula that simply pulls the components from the coordinate point, and the coefficients from the equation of the plane.
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
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