Find a unit vector in the direction of the given vector. 55 -132

Q: 1. Given the vectors l = (2,-6) and 7 = (5, 5) , find %3D a. 37 - 7

A: The given vectors,         u→=2,-6 and v→=5, 5

Q: Find the magnitude of each vector. Then write each vector as the sum of unit vectors.

A: We need to find magnitude and sum.

Q: Find the vector x determined by the given coordinate vector [x]p and the given basis B. 1. -5 -3 2.…

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Q: 4. Subtract the vectors shown. (blue - green)

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Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

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Q: Determine whether the given vectors u and v are linearly dependent or linearly independent. V= u=…

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Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-12, -5) (a)…

A: The solution is given as

Q: Find the magnitude, or length, of the vector i shown below. -5 -4 -3 -2 -1 I 2 3 4 5 -2 -3 -4 -5+…

A: The two end points of the vector v are (0,0) and (2,5)

Q: - Given the points A: (0,6,2) and B: (-5,-4,6), find the vector u AB

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Q: What is the vector shown in component form?

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Q: EXAMPLE 4 Vector operations Let u = (-1,2) and v = (2, 3). a. Evaluate |u + v|. b. Simplify 2u – 3v.…

A: Given: u=-1,2, v=2,3 for finding value of u+v, first we evaluate u+v we know that u+v is addition of…

Q: ving decide if the statement is true or false. Remember a mathematical statement is true only if it…

A: True   The detailed solution is as follows below:

Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-8, -15) (a)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: A is a vector given in the rectangular coordinate system and directed from (0,-1,3) to (5,1,-2).…

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Q: Find the unit vector in the direction of the given vector. Write your answer in (a) component form…

A: According to our guidelines we can answer only 3 subparts or first questions. Kindly repost the…

Q: Show that the following vectors are linearly dependent, and then write one of the vectors as linear…

A: Concept: The vectors are linearly independent only when The determinant of the vectors are equal to…

Q: Find the length of the vector. v = (5, 0, 3, -2) %3D ||v|| = %3D

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Q: Find a unit vector that is orthogonal to both i+j and i + k. 1 -k 3 Need Help? Watch It

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Q: Use the given vectors to compute u + v, u- v, and 3u - 5v. u = (2, -6), v = (4, 5) u + v = u - v =…

A: We will use the usual inner product for the compute the required vectors

Q: 6. Are vectors (-1,2,3) and (2,-1, 1) orthogonal? (YES or NO)

A: To determine whether the vectors -1, 2, 3 and 2, -1, 1 are orthogonal.

Q: Find a unit vector in the direction of u and in the direction opposite that of u. u =(3, -5,-4) (a)…

A: u=3, -5, -4