If A (1,2,3) and B (4,6,5), C(8,-5,1) are points in three-dimensions, find. a. AB b. |AC| c. AB AC .

Q: Points J,K and L are distinct points and JK=KL. Which statement must be true

A: Given  Points J,K and L are distinct points.  JK=KL

Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

A: The objective of the question is determine the distance and check the collinearity of points.

Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that  Following vectors  To find the dot product

Q: 1) The values of.x and y for this equation (x - 3) + i (y + 2) = -1 +i3 are: a) x =-2, y = 1 b) x =…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A:

Q: AB = I + 7j − 3k and B is the point (9, 5, 3)​, find A. The point A is (___,___,___)

A: Given:  AB = I + 7j − 3k and B is the point (9, 5, 3)​

Q: Ax) = 2& + 2) -2 -1 1 2 y

A: Given, Exponential function f(x)=2(x+2)

Q: Given the points A(-3, -4), B(-2, 1), C(1, 4), and D(3, -1). If W CB, what is v + w ? = DA and

A: If you have any questions let me know in comment box thankyou for your question.

Q: 18 2y Find ST.

A: Given:

Q: Write down an equation of ARIMA (9,2,5) using y?

A: Given the time series process ARIMA9,2,5.

Q: . Given points P(3, – 2) and Q(7, 1), find (a) PQ, (b) |PQ|, and (c) – 2PQ.

A: If A=x1, y1 and Bx2, y2 then, AB→=x2-x1, y2-y1AndAB→=x2-x12+y2-y12

Q: 35. If the distance between the points A(-2,4) and B(x,-8) is 13, what are the possible values of x?…

A: distance AB =(-2-x)2 +(4-(-8))2 13 = (-2-x)2 +144 169 (-2-x)2 + 144 (-2-x)2  = 25 -2 -x =+ 5 -2 -x =…

Q: If p(5, r)= 2. P(6, r -1), find r.

A: Given : p(5, r) = 2. P(6, r -1)

Q: Given points M(-1,2,1), N(3,-3,0), and P(-2,-3,-4), find the following a) RMN b) RMN + RMP

A: Solution

Q: Given points M(-1,2,1), N(3,-3,0), and P(-2,-3,-4), find the following a) RMN b) RMN + RMP

A:

Q: Let A be the point with coordinates (0, -4, -1), let B be the point with coordinates (4, 0, 1), let…

A: The objective is to find the x-coordinate of point P.

Q: Triangle ABC has vertices with A(x,3), B(-3,-1), and C(-1,-4). Determine and state a value ofx that…

A:

Q: Q6) If the point A, B, C are .collinear then AB.BC = 0 F

A:

Q: ) 1. Find the equation of the line that passes through the points (9,7) and (11,17). Give answer in…

A: The given problem is to find the equation of line passing through the given points. Given points…

Q: 9.) Find the value of b² – 4ac, given a = 4, b = 6, and c=-4.

A:

Q: 4.) Which of the following equations is in standard form? a. x - y = 7 b. y = 3x - 1 c. x = 4y +…

A: Given equations are, a. x - y = 7 b. y = 3x - 1 c. x = 4y + 2 d. 10 - 5x = 2y

Q: Calculate the distance of AB. A. (-2,8) B (5,3)

A: Here, we need to find distance between two points A(-2, 8) and B(5, 3). We know that the distance…

Q: Given points A, B, and C. Find AB, BC, and AC. Are A, B, and C collinear?If so, which point lies…

A: Since you have posted multiple sub questions we will solve first two questions for you. If you have…

Q: f(x) = 6x - 5 (a) Find the inverse function of f. f-¹(x) = + 5016 (b) Graph fand f-1 on the same set…

A:

Q: Find a, b and c. 1.) 2b + 7c = 20      4a-6c+2b = 2       8a - 6b = 2c   2. 7a + 2b -c = 4…

A: For a linear equation system to be consistent, the number of variables should be equal to the number…

Q: Find the real numbers r such that y = e"* is a solution of У + 5y + бу %3 0. a) Or = 3 andr = 2 b)…

A:

Q: 8. Which coordinate grid shows a point 3 represented by (;, -3)? (6.18, 6.1E, 6.1F)

A: The given coordinate is ( -3/2 , -3) x coordinate is  -3/2  y coordinate is  -3 It means that the…

Q: Ax) = 2x + 2) -2 -1 1 2

A: Given function: fx=2x+2 We can write the function as y=2x+2 Substitute the value of x=-2, we get…