Find two vectors v1 and v2 whose sum is <0,−4>, where v1 is parallel to <−1,−5> while v2 is perpendicular to <−1,−5>. v1 = ? and v2 = ?

Q: When analyzing the vector To the sum of two vectors, the first is parallel to the vectorA 2i-j+ 3k…

A: I am attaching image so that you understand each and every step.

Q: For the pair of vectors, find U + V, U - v, and 2U – 4V. U = (5, 1), V = (-6, 3) U + V = U - V = 20…

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Q: The dot product of vectors p = (3, -5) and q = (15,9) is A/

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Q: Given vectors v = (3, -1) and w = 1 (-4, 6), find 2v - 2W {8, -5) (4, -5) (-5, 4) (-8, 5) (-8, -5)

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Q: For the pair of vectors, find U + V, UV, and 3U - 4V. U = (-7, 0), V = (0,5) U + V = U-V= 3U - 4V =

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Q: For what values of b are the vectors and orthogonal?

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Q: For the pair of vectors, find U + V, U-V, and 3U - 4V U = (4,1) V =(-6,3

A: Given that  U = (4,1) V =(-6,3) To find U + V, U-V, and 3U - 4V

Q: photo attached

A: Given informationU=(4, 1),  V = (-7, 3)That is U= 4i+1j      V = -7i+3j

Q: When analyzing the vector To the sum of two vectors, the first is parallel to the vector A = 2i-i+3k…

A: There is no specific formula.Please go through the solution.

Q: For the pair of vectors find 2U-3V

A: U=6, 6V=6, -62U=26, 6      =2×6, 2×6      =12, 12

Q: For the pair of vectors, find U + V, U − V, and 2U − 3V U = 9, 5, V = 9, −5 U+V= U-V= 2U-3V=

A: We know that for two vectors a→=a1,a2 and b→=b1,b2, a→+b→=a1+b1,a2+b2         ⋯⋯1a→-b→=a1-b1,a2-b2…

Q: Suppose vectors v, w, and z sum to the zero vector. If v = 8.2i - 3.8j and w = 4.1i + 1.3j, find z.

A: We have to solve

Q: a) pair (4,-6) & (-6,9) b) pair (2,-3,1) & (4,-6,3) c) pair (6,-5,1) & (3,4,2)

A: To determine whether the following pairs of vectors are parallel, perpendicular or neither. a pair…

Q: Two vectors are equivalent when they have the same ________ and the same ________.

A: Two vectors are equivalent when they have the same magnitude and the same direction. Magnitude of a…

Q: solve for th e vector x in terms of the vectors a and b. x - a= 2(x - 2a)

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) Given: v1=&lt;-3,6&gt;,…

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: (a) the dot product of the two vectors a(-2,5) and b(3,6) a · b = ax · bx + ay · by = -2 · 3 + 5 ·…

Q: 4 r 1 by -1 -2 -3 -4 -5 -4 -3 -2 -10 1 2 3 4 5

A: First we find p, q, r and s. Then solve it.

Q: For two vectors a and b, V

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Q: Find the sum of the given vectors; + B Å = 440 N Z 236°, B= 580 N Z 162° Draw and label a diagram…

A: Obtain the graph of vectors as follows: The third arrow is the resultant vector.

Q: If a and b are two non-parallel vectors and the position vectors of P, Q and R are a + 2b, 1/2a +…

A: answer

Q: Two vectors ñ and m are said to be parallel if n-m-0

A: False

Q: nd the angle (to the nearest tenth of a degree) between the vectors  u = and v=

A: Angle between vectors u and v is θ = arc cosu.vuv

Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v simple

A: Given vectors are u=&lt;3,2&gt;and &lt;9,1&gt; Now, we will find the given value.…

Q: Solve for the vector x in terms of the vectors a and b. x - a = 2(x - 2a)

A: Given: x-a=2x-2a

Q: For the pair of vectors U = , V = , find U + V, U - V, and 4U - 3V. U + V = U - V = 4U - 3V =

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Q: Find the equation for the plane through the point Po = (2,10,7) and normal to the vector n = 9i + 2j…

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Q: To find the dot product of two vectors, _________ corresponding components, andthen ____ these two…

A: To find the dot product of two vectors, _________ corresponding components, and then ____ these two…

Q: Given v=[2,-9] and w = [7,-8], what is 2w-v written as a linear combination of unit vectors?  please…

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Q: 1. Assume the lengths of the vectors 2a – b and å + 35 , assuming å = (2,1,3) and b = (-1,2,2) 2. If…

A: Using scalar multiplication of vectors and magnitude of vector concepts  we can solve this question

Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

Q: solve for th e vector x in terms of the vectors a and b. x + 2a - b = 3(x +a) - 2(2a - b)

A:

Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (– 6, – 1, 3), Q = (- 1,…

A: The corresponding position vectors with respect to origin are,…

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: 10,7 and -2,-75

Q: For any two vectors ā and 5, show that (1+laf)(1+|5)=|1-a5f +a+5+āxbf.

A: Explained below

Q: Determine the angle between the vectors: x 3i + -3j + -7k and y = 12i + 3j +11k

A: x = 3i -3j -7k  y = 12i +3j +11k

Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. u- 31, v- 2i - 9j 2u - -3v - 3u - 4v…

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Q: Solve for the vector x in terms of the vectors a and b. x + 2a - b = 3(x + a) - 2(2a - b)

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Q: For the pair of vectors, find U + V, U - v, and 2U – 3V. U = (-3, 0), V = (0, 2) U + V = U - V = 20…

A: Given vectors are Sum of vectors  u and v is Difference of vectors u and v is

Q: Find the angle a between the vectors 3 2 B [B] and -4 -3

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Q: For the pair of vectors U = , V = , find U + V, U - V, and 3U - 4v. U + V =

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) If u and v are two-dimensional vectors, we calculate the dot product as   u=(u, u2) and v=(v1,…

Q: For two vectors a and b, we always have a-b|<|a|-|b|. Select one: O True O False

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Q: The distance between vectors v1 = (2, 1, -4) and v2 = (1, -1, -2) equals: Select one: O a. -2 O b. 3…

A: To find The distance between the two vectors v1=(2,1,-4) and v2=(1,-1,-2)

Q: Determine the angle, to the nearest degree, between the vectors = (5,3), b= (-1,–2)

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Q: Find the vectors that satisfy the stated conditions. 23. (a) Oppositely directed to v (3,-4) and…

A: a) The given vector is v = &lt;3, - 4&gt;  To find vector opposite to given vector and half in…

Q: photo attached

A: Given:U = &lt;3, 3&gt;V = &lt;3, –3&gt;

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.