Determine m so that u and v are a) u (3, 5, 0); v = (m2, m+ 3,0) = perpendicular.

Q: Let M be the midpoint of A and B, where: A(a1,a2), B(1,3) and M=(-2,6). a.) use the fact that -2 is…

A: We have to use the Midpoint formula and distance formula to solve these problems. We know that the…

Q: For what values of h is v3 in Span{v1, V2, V3} ? Ta 2 -3, v1 v1 = 9. -7 -61 h

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Q: O Evaluate )ds where c is the line segment from (-2,0) to 0,2).

A: We will parameterize C and solve.

Q: Calculate v x w: v = (5,6,2), V X W W = (5, 4, 7)

A: Step 1: Step 2: Step 3: Step 4:

Q: Trinity was given the points S(-9, 14), T(1, 10), U(-3,0), V(-13,4). She determined that the sides…

A: Quadrilateral

Q: Let A = (4, –4,4, 0) and B = (-4,3, –4, 1) be points in R*

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In Z3×U3, Find the order of (1, 2). Show your work.

A:

Q: The vectors p and q span R2 For which values of k will (k2 + 2k - 3)p + (k2 +k - 6)q = 0 Explain…

A:

Q: Suppose that u and v are vectors in R7 both of length 2√2 and that the length of u - v is also²√².…

A: Solution :

Q: Q)Suppose that one line is parallel y=13x+ 13 and passes through (15,7). Where does that line cross…

A: Given :  y=13x+ 13  compare with y = mx + c slope m = 13

Q: What are the missing coordinates of point Q?  Given A(7,1), B(4,8), and C(10,3), which coordinate…

A: Given, P(0,c) N(2a,0) PN=NQ Therefore,  ON=OQ Since, O is the origin, the coordinates of Q is given…

Q: 1: Let u = (-3,2, 4) and v = (2, -4,6). a) Find u o (v), b) Find u x v. c) Find Proj,u.

A: Here given that                        u=(-3, 2, 4)                and  v=(2, -4, 6)

Q: V) through (-1,2) and perpendicular to 3x+ 4y = 12

A:

Q: Q5) If the line passing through the points A(1 – a, a – 2) and B(a + 3, a) is perpendicular to the…

A: Given the line through A (1-a,a-2) and B (a+3,a) is perpendicular to the line (x/2)+(y/5)=1. We need…

Q: Find the values of x and y in the parallelogram when AB = x-72, CD--x, m-D=(oy+ ) mLB= 157. %3D D. A…

A:

Q: 25. (17,-7) (-8, 11) Parallel: Perpendicular:

A:

Q: Evaluate fS, 6x² – 40y dA, where D is the triangle with vertices (1,1), (5,0) and (5,3).

A:

Q: The point of intersection of y = x² + 6 and x = 2 is ... A) (1,8) B) (2,8) C) (2, 10) D) (10, 2)

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Q: i = [4,24, 46] = r·õ+B so that i = [-4, 1,7] and B is perpendicular to

A: Introduction: The dot product of two vectors lies in the same plane as the two vectors. if two…

Q: Use an algebraic proof to show that the points A(-3, 1), B(0, 4), C(0, 2), and D(-3, -1) form a…

A:

Q: Which equation is parallel to 3x+7y=15

A: Given,           The equation is parallel to 3x+7y=15.

Q: Find the area of parallelogram ABCD with vertice A(7,5,2), B(-1,2,9), C(6, –3, -4) and D(5,7,3).…

A:

Q: 6. Convert the rectangular coordinate (2, -2, 5) to (p, 0, p).

A: To conveert the rectangular coordinates  to sphericalcoordinates .

Q: Find the distance between each pair of points: с) (-4, 1) and (4, 5) d) (x — 2, у —3) and (х + 4, у…

A: Distance between two points Ax1, y1 and Bx2, y2 is, AB=x2-x12+y2-y12

Q: The distance between the points P(0, 0,4) and Q(7,6, 8) is V102 Select one: True False

A: According to question,Given points,P0, 0, 4 and Q7, 6, 8

Q: Show that the straight lines whose direction cosines are given by the equations al + bm + cn = 0 and…

A:

Q: Are these points collinear? a) A(-1, - 2), B(3, 2), and C(5, 5) b) D(a, c-d), E(b, c), and F(2b - -…

A: If the points are colinear then the slope of the lines making with the points are same. Find the…

Q: Which point(s) lie in the plane 2x + 3y + 4z = 24? a) (0, 0, 6) c) (4, 4, 1) b) (0, 3, 4) d) (-2, 6,…

A: Given: 2x+3y+4z=24 For finding which point lie on given equation of plane, we put each point on…