11. Find a dot product to show that a = (3,4) and b = (- 6,–8) are in opposite directions or in same direction.

Q: Find the distance between the point (5, 1) and the line y = 3x + 1. O 3V10 O 7/10 O 9/10 O 5V10

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Q: 2. (a) Show that the points (-2x, 5x), (0, 4x), (6x, x) are collinear.

A: Given that: (-2x, 5x), (0, 4x) , (6x, x)

Q: Find b such that (2, -1), (3, 2), and (b, 5) lie on a line.

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Q: . Calculate the area of the triangle formed by the line 3x-7y+4 =0 , and the (ans.: 8/21) axes.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: В. Let a %3 -в -2 1, Find a value for k so that the dot product of a with = Lk 1 4]is zero.

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Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

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Q: 4. Describe the reflection(s) that will carry the rectangle onto itself. 10 -10-9 -7 01 -2 -6

A: Given: The rectangle ABCD. To describe: The reflection of rectangle.

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Q: Find the curl of x²zi+0j+xz²k.

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Q: Let a = (- 6, 3) and b = (1, – 4). Compute the dot product.

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Q: If u xv=uxw and u ‡ ♂, then u = w.

A: The given statement is: If u×v=u×w and u≠0→, then u=w

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Q: Let ā = (- 2, – 3) and b = (- 6, – 4). Compute the dot product.

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Q: ZA'B'C' is the image of LABC following the reflec- tion of ZABC across line (. If mZA'B'C'= + 20 and…

A: Given: m∠A'B'C'=x5+20, m∠ABC=x2+5 We know that when we take reflection of a triangle across any line…

Q: What is the sum of the coordinates at which the diagonals of ABCD intersect?

A: From the given figure, The equation of the diagonals can be written as :

Q: 2. Find the angle between the lines 3x – 5y = 11 and 6y – 10x = 3.

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Q: 5. Determine the angle 0 between the lines 3x + 4y - 6 =0 and 2x + 3y + 4 = 0.

A: Here we have to determine the angle θ between the lines 3x+4y-6=0 ..................... (1) and…

Q: %3D Bi'

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Q: Let a = (5, 4) and b = (5, – 8). Compute the dot product. a b

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Q: Find the equation of the line through P = (4, 12) such that the triangle bounded by this line and…

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Q: Compute the following cross products: (а) ј x (3і — ј + 2k); (b) (1,2, 3) х (3, 2, 1); (с) (і — ј+…

A: Let a Vector A→=xi+yj+zk and B→=ai+bj+ck then Cross Product between two vectors A→ and B→ is given…

Q: Find the distance between u = 0 - 4 and z = 3 - 3 - 1 8

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Q: BE bisector RBT, if mZRBE =4x - 8 and mz TBE = 10x - 80, find m<RBT. %3D B

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Q: Find K so that the line through( 1, 5 )and( K, 8) is a) parallel to 4y -3X =7 and b) perpendicular…

A: compute the equation of a line joining (1,5) and (k,8) by using below formula.

Q: Prove analytically that the sum of the squares of the four sides of a parallelogram is equal to the…

A: Apollonius's theorem   for triangle ABC with M being the midpoint of BC, the following equation…

Q: Are the following  points collinear    -8,12  3,5 and  25,-9

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Q: 4. Find the area of the parallelogram with the points A(2,5, 6), B(4,8, 10), C(11, 7, 9) and D(9,4,…

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Q: Find a dot product to show that a = (3,4) and b= (-6,-8) are 11. in opposite directions or in same…

A: If dot product of two vector is negative then vector is in opposite directions

Q: Find the product of the lenghts of the perpendiculars drawn from (2,1) upon the lines…

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Q: Find the norm of the image of U(7, 8) by an reflection about y-axis Answer:

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Q: When X and Y are moving in the same direction the cross-products are likely to be

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A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: What is the image of (-1, -4) after a reflection over the line y = -x?

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Q: 1. Show that the lines 2x + 3y = 1 and 6x - 4y - 1 0 are perpendicular.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3] By using the properties of dot and cross product, prove the following: a) (w x ū). ū = 0.

A: To prove- w→×v→.v→=0 The cross product of two vectors…

Q: Find k so that the line through (3, 2) and (k, 3) is a. parallel to 25x + 17y = 34, b. perpendicular…

A: We will be using the following concepts: Parallel lines have the same slope. The product of slope…

Q: What is the image of (4,-1)(4,−1) after a reflection over the line y=xy=x?

A: Reflection over y=x means:  (x,y)→(y,x)  We need to find reflection of (4,-1) over y=x line .

Q: show.. that. the line in.which. and. .5Xm2y.Z==.0. jntersect..is

A: Equation of the plane: - In three-dimensional space, a plane surface is represented by an equation…

Q: Compute yds where C is the line segment from (1, 2) to (4, 7).

A: We know that,       . Now,

Q: If a = i + j + 5k and b = i + j + 3k, compute the cross product aXb

A: We have to find cross product

Q: 2. Find the area of the triangle formed by the lines 5x + y – 14 = 0, x+ 7y + 38 = 0, and 9x – 5y +…

A: Given equation of lines are 5x+y=14; x+7y=-38 and 9x-5y=-2. We have to find the area of the triangle…

Q: How can you say that the points (1, – 5),(3, – 2),(7,4) ar collinear

A: Co-ordinate Geometry Question