Determine whether the planes are parallel, perpendicular, or neither. a 3 x − 2 y + z = 4 6 x − 4 y + 3 z = 7 b y = 4 x − 2 z + 3 x = 1 4 y + 1 2 z c x + 4 y + 7 z = 3 5 x − 3 y + z = 0
Determine whether the planes are parallel, perpendicular, or neither. a 3 x − 2 y + z = 4 6 x − 4 y + 3 z = 7 b y = 4 x − 2 z + 3 x = 1 4 y + 1 2 z c x + 4 y + 7 z = 3 5 x − 3 y + z = 0
For each pair, determine if the planes are parallel, orthogonal, or neither. Explain your answer.
Set One
2x+2y+2z=5
-2x-3y+5z=5
Set Two
3x+3y-3z=4
-x-y+z=5
Set Three
5x+6y+2z=2
-x+2y+5z=13
Explain whether the planes 3x-6y-9z+5= 0 and x + 2= 2y + 3z will ever intersect
3. Diego and Anya live 72 miles apart. They both meet at
their favorite restaurant, which is (16x – 3) miles from
Diego's house and (5x + 2) miles from Anya's house.
Diego argues that in a straight line distance, the restaurant
is halfway between his house and Anya's house. Is Diego
right? Justify your reasoning.
Midpoint and distance can also be calculated on a
coordinate plane.
The coordinate plane is a plane that is divided into
regions (called quadrants) by a horizontal line (_
and a vertical line (_
> The location, or coordinates, of a point are given by
an ordered pair,
Precalculus: Mathematics for Calculus - 6th Edition
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