Find the intersection of the line passing through P=(-10,-6,-6) and Q(50,-18,-18) and the plane passing through...

Find the intersection of the line passing through P=(-10,-6,-6) and Q(50,-18,-18) and the plane passing through points R(-10,0,0), S(0,-6,0) and T(0,0,-6).

Expert Solution

Colby Messinger answered 2 years ago

Find the intersection of the line passing through P=(21,21) and Q(−63,168) and the line passing through...

Find the intersection of the line passing through P=(21,21) and Q(−63,168) and the line passing through points R(21,0) and S(0,21) using vectors.

Find the symmetric image of P(−28,18,20) about the plane passing through Q(0,0,0) and perpendicular to the...

Find the symmetric image of P(−28,18,20) about the plane passing through Q(0,0,0) and perpendicular to the vector n=[−5,5,2].

(a) Find the equation of the plane passing through the point P(0, 0, 5) and the...

(a) Find the equation of the plane passing through the point P(0, 0, 5) and the line x = 1 + t, y = 1 − t, z = 4 − 5t. (b) Find parametric equations for the line passing through point (1, 2, 3) and parallel to the line x = 2 − 3t, y = 4 + t, z = 2t.

(a) Find the equation of a plane π that contains the line in the intersection of...

(a) Find the equation of a plane π that contains the line in the intersection of the planes x+y+3z = 2andx−y+z=1andtheorigin. Howmanysuchplanesarethere? (b) What if instead of the origin we ask for the plane containing the same line and the point (0, −1/4, 3/4)? What changes? (c) Back to the plane π you found in item a, let Rπ be the reflection across π. Pick an explicit

Find a nonzero vector orthogonal to the plane through the points P, Q, and R

Consider the points below. P(0, -3,0), Q(5,1,-2), R(5, 2, 1) (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. (b) Find the area of the triangle PQR. (Recall the area of a triangle is one-half the area of the parallelogram.)

Find the line that passes through the point (0, 1) and through the point of intersection...

Find the line that passes through the point (0, 1) and through the point of intersection of the two lines and

4(a). Find the equation y = ax + b of the line passing through (2,3) and...

4(a). Find the equation y = ax + b of the line passing through (2,3) and (5,8). (Your answer should be an equation of the form y = ax + b, for some constants a and b.) (b) Find the equation y = ax^2 + bx + c of the parabola passing through the points (-2, -6), (1,6), and (3,4). (Your answer should be an equation of the form y = ax^2 + bx + c, for some constants a,...

The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway...

The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 12 to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection. a. Enter an exact number as an integer, fraction, or decimal. μ = b. σ = (rounded to two decimal places) c. What is the probability that the speed of a car is at most 26 mph? d. What is the probability that the...

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A traffic engineer believes that the number of cars passing through a certain intersection between 2...

A traffic engineer believes that the number of cars passing through a certain intersection between 2 and 6 pm on weekdays follows a normal distribution with mean 750 and standard deviation 100. A new highway is opened, and it is hypothesized that the number or cars passing through the intersection should decrease as a result. A sample of 15 weekdays is taken, and the mean number of cars passing through the intersection is 710. Decide whether this reduction in traffic...

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