Q: The following are the vertices of a triangle A(4, 0, -1), B(-4, -1, 0), and C(3, 1, 1), find: vector…

A: To find the given values:-

Q: 3- Give the coordinates of the image. T(3, -1)(AABC) for A(5, 0), B(-1, 2), C(6, –3) B I U A II

A: Given query is to translate the ABC abou T(3,-1)

Q: In the given graph below the composition of two reflections of the triangle EFG is equivalent to a…

A: The length of this translation vector is equal to the distance between the triangle EFG and E"F"G" ,…

Q: e+y dA, A:= triangle with vertices (0;0), (1;0), (1,2);

A: Solution:- We have to evaluate the following integrals over the region A. ∫∫Aex+ydA, A=triangle…

Q: The vectors a, b and c have been graphed below. Plot the result of a + b+c on the same axes. 3.

A:

Q: Graph the Image of polnts A and B after a reflection over the x-axis. UNI CLICK TO SELECT 10 POINT A…

A: The reflection of a point say A(x,y) over axis leads to the  new co-ordinates as A'(x,-y)  The x…

Q: Consider the triangle with vertices P(-1, -4, -3), Q(0, –1, –5), and R(4, –3, –-6). Determine the…

A:

Q: Consider the triangle with vertices P(3, -4, 0), Q(4, -1, -2), and R(8, -3, -3). Determine the…

A:

Q: Pls help

A: Two vectors are equal iff has same direction and magnitude

Q: find The angle of the triangle whose vertices are C(1,-2, 2) Points AC-1,0,2) B (2,1,1) A B

A:

Q: For the points P = (- 4, 3) and Q = (5, - 1) write the vector v represented by the directed line…

A: For the points P = (- 4, 3) and Q = (5, - 1) Now we find vector V represented by the directed line…

Q: Question 4. Find the area of the parallelogram that has the vectors u = (3,-1,0) and v = (0,3, 2) as…

A:

Q: The points A, B, C and D represent the numbers Z₁, Z2, Z3 and z4 and O is the origin. 9 (a) If OABC…

A: We have to find value of Z3

Q: Obthe resulting parallelogram from the following two vectors that form non-parallel sides A = 3 + 2…

A:

Q: Q3/ For the given vertices A, B, C and D of the parallelogram, Find the angle at B and the polar…

A:

Q: Given the following ordered pairs: A(-2, 2), B(-2, –4), C(4, 4), and D(4, –2), what vector describes…

A:

Q: ±). 1.4 Use vectors to decide whether the triangle with vertices P(1,–3,–2), Q(2,0, –4) and R(6, –2,…

A: solution of the given problem is below ...

Q: ectors to decide whether the triangle with vertices P(1,-3,-2), Q(2,0,-4), R(6,-2,-5), and is…

A:

Q: Consider the points ?(1, 2, 3), ?(3, 0, 4) and ?(4, − 2, 3).   A. Find area of the triangle created…

A: Using cross product we find the area of triangle

Q: Below is a diagram of the dotted cube with edges of length 3. Suppose vectors u = (3,0, 0), v = (0,…

A:

Q: 2. Let A = (2, 3), B = (5, 7) and C = (3, 5). (a) Determine the equations of the perpendicular…

A:

Q: given the following points: A(3,-2,0) B (4,5,2) C (-3,2,1) Determine the vector projection of…

A:

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A:

Q: The following are the vertices of a triangle A(4, 0, -1), B(-4, -1, 0), and C(3, 1, 1), find: vector…

A:

Q: Given three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1) Find a vector perpendicular to the…

A:

Q: If i = v-1, which point shows the location of 5- 2i on the plane?

A:

Q: (c) Consider the parallelepiped with sides: u=(5,-2,1), v=(3, 2, 4), and w=(-6,1,1). V

A: Angle between two vector V and W found using cosine function

Q: Graph each figure and its image along the given vector. a. AABC with vertices A(2, 6), B(1, 1), and…

A:

Q: Find the three angles of the triangle with the given vertices: D(1, 1, 1), E(1, –4, 2), and…

A: The angle between the two vectors a→ and b→ is given by θ=cos−1a→⋅b→a→b→ where, a→⋅b→ is the dot…

Q: For the triangle with vertices located at A(5,3,5), B(2,4,4), and C(1,1,1), find a vector from…

A: The midpoint of AB is obtained by taking the average of the coordinates of the points A,B.

Q: The vectors v = (3, 4) is projected onto the x-axis The length of the projection is %3D A/

A: We have to find

Q: Which of the following vectors is shown in the graph below? ++ O f2.1.4) O 2-1,-4)

A:

Q: Ex.: Find the area of the triangle whose vertices are A(1,-1,0), B(2,1,-1) and C(-1, 1,2).

A:

Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symme…

A:

Q: 16 4 2 -6 -4 -2 2 4 -2 -4

A: topic - relection of point about y=1 C'(2,4)

Q: Find the coordinates of A, B, and C after the triangle is rotated 60° about the origin. If…

A:

Q: Match the vectors p,7,ï, 3, and t with one of the combinations of the i and i vectors from the…

A:

Q: Set C 1. Use vectors to find the (shortest) distance between the point (-2, 1, 4) and the line…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Consider the figure below.  Triangle A'B'C' is a projection of triangle АВС. Points C, C', and Q…

A: It is given that A'B'C' is the projection of ABC. Therefore, A'B' is corresponding to AB, B'C' is…

Q: 5.12 Find the center of: a) V; b) Qs-

A:

Q: A vector collinear to ū= is: a. d. 1,-2,-3> b. -1,2,3 > e. [K C.

A: Solution is here

Q: 5. The following sketch shows the movement of a boy in Maze Game staring from point у-ахis A to B.…

A:

Q: (a) Oppositely directed to v = (3, -4) and half the length of v. %3D W3= (?, ?) (b) Length V5 and…

A: To Find : a) A vector which is oppositely directed to v=<3,-4> and half the length of vb) A…

Q: Given the two 3-D vectors a=[-3, 4, -6] and b=[-1, 2, -1], find the dot product and angle (degrees)…

A: Consider the given 3D vectors.

Q: Q3: Find the angle between two vectors in space A = 41 - 2J-k B = 4T - 2J + 4k and

A: We need to find the angle between vectors A=4i¯-2j¯-k¯  and B=4i¯-2j¯+4k¯ for this we will use the…

Q: The following are the vertices of a triangle A(4, 0, -1), B(-4, -1, 0), and C(3, 1, 1), find: vector…

A:

Q: A RST has the vertices R(-4, 5), S(-2, 3), and T(-5, 2). If A RST is reflected across the x-axis and…

A:

Q: What are the coordinates of B' if triangle ABC is reflected over the y-axis? 3 C 54 -2 23 4 5 6x -1…

A: In the given triangle ABC, co-ordinates of A, B & C are- A1,4,B4,2,C1,2

Q: Graph each figure and its image under the translation along the given vector. Give the coordinates…

A: Given

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.