Q.10 If a 2i-3j + 4k and b-2j +4k Find the component or projection of a along b.

Q: What will be the axis of symmetry, the line about which a figure or curve is upon itself, between…

A: Given :   y=4x-2

Q: 2. Find the coordinate of A(-4, 6) after it has been rotated 90 degrees counterclockwise, reflected…

A:

Q: SS₁²³ - 3x + 4y Find -3x + 4y 2y - 6x = 0, dA, where R is the parallelogram enclosed by the lines -…

A:

Q: 13. Find a and the length of each segment. 4x-5 Y X = W 2x +11 WZ = Z.

A: Here, XZ=YX and ∠WXY=∠WXZ=90∘ According to the Pythagoras theorem, WY2=WX2+YX2WX2=WY2-YX2…

Q: 33. Which of the following has an axis of symmetry of x = 8? mra. y = (x + 4)2 b. y = x2 – 8x + 16…

A: 33. Axis of symmetry of y=ax2+bx+c is x=-b2a

Q: 7. If WXYZ is an isosceles trapezoid, and WX and YZ are the legs. XY is the base. And WX = 6x-5, YZ…

A: In isosceles triangle length of legs is equal

Q: Solve for the orthogonal traysctories x*(3k-x) - ky². = x ? 2

A:

Q: QUESTION 3 31 in the diagram betow line seunent AB tersects ne egnt OC and the size of x and y. (a)…

A: As per our guidelines we are only supposed to solve first three parts of multiple parts

Q: Determine the direction of the binormal of the path described by the particle of Prob. 11.96 when…

A:

Q: Write the coordinates of the vertices after a reflection over the line y = -5. 104 4 2. -10 -8 -9-…

A: Given query is to find the the cordinatea of vertices after reflection over y= -5.

Q: Which of the following lines passes through the point (3, –7) and is perpendicular to the line whose…

A:

Q: What effect will the transformation have on each point on the triangle? O F (x, y) will transform to…

A: i have provided solution in step2

Q: 5/1f the three points A ( are collinear then

A:

Q: If 1x, y2 are the coordinates of a point P in the xy-plane, then x is called the _________  of P and…

A: If (x,y) are the coordinates of a point P in the xy-plane, then x is called the _________  of P and…

Q: , and mz = X+ 20 A (3x) 20 -2 =180 x+20)° What is the value of x? What is the image of the point…

A:

Q: The plane containing the point (2,5,0) and parallel to the plane 3x – 7y + 6z = 8 has equation Ах +…

A: Recall:      The equation of the plane parallel to Ax+By+Cz=D and passes through the point  α,β,γ ,…

Q: line l1 determined by 2 and ∞ to the hyperbolic line determined by 1 and 3

A: We have two hyperbolic lines  lines l1 determined by 2 and infinity. And line l2 determined by 1 and…

Q: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

A: Given, ∆A'B'C' is formed after a reflection across a line through point P followed by a translation…

Q: 1. Find an equation of the perpendicular bisector of the segment joining(3. -1) and (-1. 7). (A) x +…

A: Here we have to find the equation of line which is perpendicular bisector of the segment joining(3.…

Q: In Problem,find the distance from P1 to P2.

A:

Q: (10x + 10y) dA, where R is the parallelogram with vertices (-1, 4), (1, -4), (4, –1), and (2, 7) ; x…

A: Assume that L1 is the line connecting (-1,4) and (1,-4) then the equation of the line connecting…

Q: 7. If 1x, y2 are the coordinates of a point P in the xy-plane,then x is called the__________________…

A: Given that, x,y are the coordinates of a point P in the xy-plane. The objective is to fill in the…

Q: The roots of the characteristic equation of y" – 7y = 0 are: Select one: а. 7,-7 O b. 17, -17 O c.…

A: Using factorization.

Q: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

A: A(2,7) ; B(6,7), C(4,5)Equation of line passing through point P(10,8) and R (0,-2)using two point…

Q: 3. Find the coordinates of J if K(-5, 8) is the midpoint of JL and L has coordinates (-4, -1).

A:

Q: 2. Find the image of the line y = 5x + 7 under collineation a if a((x, y)) = (2у — х, х — 2).

A:

Q: Given: T %3D(-2, 1) х- (6, 8) Y = (6, -6) Z = (-5, –7) Find: –TX – YZ

A: Given,           T=-2,1 , X=6,8           Y=6,-6, Z=-5,-7

Q: 1)calculate xy dxdy D where D is a parallelogram with vertices (0,0) ,(5,-1).(3, 1) and (8,0)

A: We have to evaluate the integral ∬ xy dxdy over D where D is a parallelogram. First we will sketch…

Q: Show that KLPQ is a parallelogram for m = 14 and n = 12.5. (5m + 36)° (6n 1)° | (4m + 50)° K

A: Given, m=14, n=12.5

Q: Consider AB in the coordinate plane below. 10 4. 2. A -10-9 -8-7 l0 1 -1 -5-4-3 -2-1 2. 4. 10 -2 -3…

A: Given: AB¯

Q: Suppose S(5, 4) was rotated 270 counterclockwise about the origin, then reflected across the line x…

A: Given query is to find the the x cordinate of S''.

Q: Given the points A(3,5) and B( – 3, – 7), find d. the scalar equation of the line.

A:

Q: Graph the image of rhombus EFGH after a reflection across the line x = 2. G. 10 8 9. H. 4 10 -4 -2…

A: When a point is reflected across the x = a line, the y-coordinates remain the same. But the…

Q: Which of the following lines is parallel to a line with the equation y = 3 x +6 %3D 3x = -4y - 5 %3D…

A:

Q: H. (7m - 48)° (3m +0)° (14n + 11)° K. Part 1 out of 2 mZG=

A: We properties of parallelogram opposite sides are equal in length opposite angles are equal sum of…

Q: 11. If m2XYZ= 68° and m/WXZ = 71°, find M2WZX. Use parallelogram WXYZ for questions 11 and 12. mzWZX…

A:

Q: 6) Find the component of A = 2ax + 2āy + az in the direction ofB = 2āx + %3D %3D

A:

Q: Q.10 If a= 2i-3j + 4k and b= 2j + 4k Find the component or projection of a along b.

A: Using formula of projection vector.

Q: Find the image of the line y = 5x + 7 under collineation a if a((x, y)) = (2у — х, х — 2)

A: Given that: Line is: y=5x+7and collineation is: (x, y)=(2y-x, x-2)

Q: Plot the points on the same three-dimensional coordinate system. (a) (3, 4, 1) (b) (-2, 3, 7) 10. O…

A: Given Data: Plot the points on the same three dimensional coordinate system. (a) (3,4,1) (b)…

Q: when the axes are rotated through an angle x/4,find the transformed equation of 3x2+10xy+3y2=9

A:

Q: In right triangle XYZ, XY = 3 and YZ = 4. If V is the mid- point of YZ and MZVWZ = 90°, find VW.…

A: From he given figure, XY=3 and YZ=4. Since V is the midpoint of YZ, YV=VZ=2. From △XYZ,…

Q: 10 X- 3y dA, where R is the parallelogram enclosed by the lines x - 3y = 0, x - 3y = 5, 8x - y = 5,…

A:

Q: Show that KLPQ is a parallelogram for m = 14 and n = 12.5. %3D %3D (5m + 36)° (6n - 1)° (4m +50)° K

A:

Q: B. If the two planes ax-4y - 9z = 4 and perpendicular. Find the value of a. x-2xy + 3z = 1 are

A: Topic = Geometry

Q: Consider AB in the coordinate plane below. 10 7 5 4 3. 2 A B 6 7 89 10 10-9 -8 -7 -6 -5 -4 -3 -2 -1…

A: i am going to solve the given problem by using some simple geometry to get the required result.

Q: 4) Which of the following pairs of points define a line segment parallel to the x-axis? O(4,3)(-4,3)…

A: We have to identify the line segment parallel to x axis.

Q: 9. Determine the indices for the directions shown in tl D 112

A:

Q: Graph the image of square TUVW after a reflection across the y-axis. 10 6- 4. W V -10 -4 0. 4. 10 -4…

A: Draw a schematic diagram of given figure. .

Q: If this trapezoid is moved through the translation (x+1, y-3), what will the coordinates of D' be? B…

A: