4. Identify the component form of the vector that maps AABC to its image AA'B'C' A < 6,-2 >. 2 B. < -6,2 > C. <-2,6 > 2 A4 2 B -2 D. < 2, -6 > -4

Q: 4. Find a unit vector that is perpendicular to (5,6).

A:

Q: What is the terminal point of the vector a = &lt;1, 3&gt; based at P = (2, 2)? Sketch a and the…

A: Consider the provided information, The component vector v=PQ→ where P=a1,b1 and Q=a2,b2 are…

Q: C A

A: We use Triangle law

Q: 8 Find a vector of length: (2) (+) 3 a 10 units which is perpendicular to (a -4 b 3/2 units which is…

A:

Q: ind a unit vector orthogonal to bothu and v. u = (-8, 7, -2) v = (-1, 1, 0)

A:

Q: photo attached

A: Given point can be written in vector form as,

Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

A:

Q: Find a vector equation for the line segment that joins P(1,3,4) to Q(-2,4,6)

A:

Q: 14. Draw the vector V that goes from the origin to the given point. Then write V in component form…

A:

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(-4, 8, 0),…

A:

Q: .b,č are three vectors such that a + b+ e = 0, lal = 5.6 = 3. = 8 then ä.b+ ans. -49 48 1/6

A:

Q: Find an equation of the plane through the point and perpendicular to the given vector. (8, 2, 3)…

A: We will find an equation of the plane through the point (8,2,3) and perpendicular to the given…

Q: Express the vector from P(-1, -4, 6) to Q(1, 3, -6) as a position vector in terms of i, j, and k.

A: Given vectors are P-1,-4,6 and Q1,3,-6.

Q: When do directed line segments in the plane represent the same vector?

A: Vectors are represented by the line segments in which the length of the line segment is called the…

Q: 4. Identify the component form of the vector that maps AABC to its image AA'B'C' A. B. 2 C. D.…

A: Given graphs  1) vector that maps  triangle ABC has vertices A(3,-1),B(7,-3),C(1,-6) to its image…

Q: The coordinates of the terminal point of the vector with its initia point at (-3, 2) is (a, b).…

A: The coordinates of a vector with its initial point, &lt;x1, y1&gt; and the terminal point, &lt;x2,…

Q: Find u + v, u-v, and 3u - 4v. Then sketch each resultant vector. =(3,2), v = (2, 5) %3D

A: Given that u=3,2 and v=2,5 find  a) u+v b) u-v c) 3u-4v

Q: Find u + v, u − v, and 2u − 3v. Then sketch the resultant vector. u = 4,3    , v = -3, 0

A:

Q: A vector is written as aî + bĵ. What form is that?

A: A vector is written as aî + bĵ.

Q: Find the projection of vector A=(6,7) along vector B=(1,4).

A:

Q: Give the vector equation of the line passing through P and Q

A: To find the equation of the line passing through P and Q.

Q: Give the terminal point of the position vector of u= (3,4). Clearly show why your answer is…

A: Given that Position vector of u→=3,4 So, graphically it is as below:

Q: Resolve the vector of 300N at N25W into its rectangular components. Use right/left and up/down for…

A: Vx = -126.785 Vy = 271.892   explanation is given in below step

Q: Consider the paints A (-2,3.1),8(0,0.2) and C (-1, 5.-2). (1.) Find a vector of length ST in the…

A: This is a problem of vector calculation. Based on the general formula we will answer the question.…

Q: Determine the tail of the vector whose head is(1, 2). Make a sketch.

A: Given the vector 26 and tail of the vector is (1,2). We need to find the head of the vector.

Q: Consider the points A (10, 9) and B (0, – 7). Find the vector AB. АВ

A:

Q: A figure is translated using the vector (-3, 7). What translation vector would move the image back…

A: i have provided solution in step2

Q: Find the vector equation of a line that passes through the two points A(3,9,2) and B(−7,1, −4)

A: The given points are: A=3,9,2B=-7,1,-4  Therefore, A→=3i+9j+2kB→=-7i+j-4k  To find the vector…

Q: Consider the vector v = ⟨v1, v2, v3⟩. What is the meaning of arccos v2 / II v II = 30°?

A: Consider the vector v=v1,v2,v3 Use the dot product rule: v·j=v×jcosθ=vcosθ where θ is the angle…

Q: 7. Give the terminal point of the position vector of ü= (3,4). Clearly show why %3D your answer is…

A: Concept: A vector is a directed line segment with an initial point and a terminal point. Vectors are…

Q: The plane that contains the point (3, –1, -4) and the line with equation y – 1= 3z is orthogonal to…

A:

Q: Determine all vectors of magnitude 5 that are perpendicular to both P = (3,2,5) and 0=(4,-1,5)

A:

Q: 2. Find the cross products of the vectors in the diagram above.

A: The concepts to be used: (i) The components of vectors can be written in terms of cosine and sine.…

Q: Find a vector perpendicular to d = [5,–4,6] and h = [-1,3,9].

A:

Q: 4. If the position vectors of the three points A, B and C are (2, 4, -1), (1, 2, -3) and (3, 1, 2)…

A:

Q: 1. Describe the vector that translates DEF to D'E'F'.

A: Given,          The vector that translates DEF to D'E'F'.

Q: Find a unit vector perpendicular to the plane ABC if A (2,-2,1), B (3,-1,2) and C (3,-1,1)?

A:

Q: Let u=(-2, 0, 1) and v-(-7, -1, 3). Find the value of the j-component in the vector 5u-6v

A: The given vectors are:u=-2,0,1 and v=-7,-1,3First we find the vectors 5u and 6v.

Q: Find a vector ī that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4, –2),…

A: We find a vector v that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4,…

Q: 10 Select the correct answer. If vector a = and vector b = , what is the resulting vector for 2b -…

A:

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, −1,…

A:

Q: If the magnitude of the vector u is √2 and its direction is 225°, then its components are:   (1,…

A: Solution of question as follows

Q: 2. Hhe live in Passing through He oryun and haring * l as it's divecha vector intersects the line…

A: The line in ℝ3 passes through 0 , 0 , 0 and it's directional vector is 1u3. Thus , equation of line…

Q: The length of the vector c = (2, -3, 1) is %3D

A: Length of vector equal to magnitude of that vector  if v = &lt;x,y,z&gt;  then magnitude/Length =…

Q: Give the vector equation of the line passing through P and Q

A: Consider the points: P=1, -2Q=3, 0

Q: Express the vector in the form (V= ai+ bj+ck) *, if A(1,0,3) and B is (-1,4,5):

A: Vector from

Q: 4. Identify the component form of the vector that maps AABC to its image AA'B'C A. B. C. D. ぐ 21…

A: first we write thev coordinate of the vertex of each trangle

Q: Find the vector w which is of length 6 and oppositely dire Select one: O None O w= w= w= W= W=…

A:

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.