Question

Choose the plane that is parallel to x+4y−3z=10. Select one: a. x+8y−3z=5 b. x+4y−6z=5 c. 2x+4y−3z=5 d. x+4y−3z=5

Answer 1

To determine which plane is parallel to x+4y-3z=10, we compare the normal vectors of the given plane and the options.

Step-by-step explanation:

A plane is parallel to another plane if their normal vectors are parallel. The given plane has a normal vector of (1, 4, -3). To find the equation of a parallel plane, we use the same coefficients for x, y, and z, but change the constant term. Out of the given options, the plane x+4y-3z=5 is parallel to the given plane x+4y-3z=10.

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