Find an equation of the plane passing through the three points given P = (4, 1,7), Q = (5,5, 16), R = (11,7, 8) (Use symbolic notation and fractions where needed. Give you answer in the form ax + by + cz = d.)

Q: If -y = xy - 3x then find d at the point (-2,6) in simplest form. 1

A: As we know that the differentiation of:- dxndx=nxn-1 (fg)'=f'g+fg' fg'=gf'-fg'g2

Q: If AB = –7i + 3j + 8k and A is the point (-2, –3, 6), find B. %3D

A: Consider the given vector as AB→=-7i+3j+8k and point A-2,-3,6

Q: Find an equation of the set of all points equidistant from the points A(−1, 5, 3) and B(6, 2, −2).…

A: If we have to find the set of all the points equidistant from any 2 points in 2 dimensional plane…

Q: The figure shows that the points (6, 12) and (8, 10) lies on a circle represented by the…

A: We will solve the following according to the given information in the question.

Q: 1) 5=3+ 4a – 5a - 3) 4+3k-6k=-11

A: 1) 5=3+4a-5a 5=3-a

Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

A:

Q: Do the points (1, 5, −7), (1, 7, −10), and (1, 8, −13) lie on the sameline?

A:

Q: 8A · 19^.

A: The given expression is 64·83. The following rule is used in simplifying the given expression.…

Q: Lesson 10 Practice Problems 1. Select all equations that are parallel to the line 2x + 5y = 8.…

A: solve the Ans is:

Q: Give the coordinates of the point of intersection of3x + 2y = 5 and 5x - 3y = 21.

A: Given: 3x+2y=5 5x-3y=21 To find the point of intersection.

Q: For questions 5 to 8, use the method demonstrated in Worked Example 14.5 to find the equation of the…

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: Given The vertices of the triangle are (8, 2), (4, -5), (3, -8) . Perimeter definition: Perimeter is…