Consider the points below. P(1, −4, 5), Q(−1, −2, 1), R(4, 1, −3)
(a)Find a nonzero vector orthogonal to the plane through the points P, Q, and R.

Incorrect: Your answer is incorrect.

(b)Find the area of the triangle PQR.
Incorrect: Your answer is incorrect.

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step-by-step explanation:

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

the answer is 489

step-by-step explanation: