6. Find the unit vector in the same direction as v. If u -(-12,8) and v-(-5,-12), find: <0.385, 0.923> O <-0.832, 0.555> O <-5/13,-12/13> O <5/13, 12/13> O E. None O <0.385, 0.923> « Previous

Q: Find the indicated vector. (-1, 6), v = (1, -8). Find - u - 9v. O (-8, 66) O (5, 63) O (10, -78) O…

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Q: 26. Find the vector that has the same direction as (6, 2, -3) but has length 4.

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Q: photo attached

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

Q: For the vectors u= (-3,0,4) and v= (1,3, - 3), calculate projyu and scal, u. proj, u = OOD

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Q: Find the vector of length 2 making an angle of 60° with the x-axis.

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Q: What position vector is equal to the vector from (3, 5, -2) to (0, -6, 3)?

A: We have given two vectors;  (3, 5, -2) , (0, -6, 3)

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Q: 2- Are the vectores [4,2,6] and [6, 3, 9] collinear? How do you know?

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Q: 4. If d and bare unit vectors and |a + 61= v3, determine (2d – 38)- (+2). %3D

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Q: Determine the resulting vector when á = (-2,4) is rotated 60° clockwise and increased in size %3D by…

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Q: What is the terminal point of the vector a = (2, 2) based at P = (2,4)?

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Q: Find a vector of length 5 in the direction opposite that of (3, –2, V3).

A: Let the given vector be              a=3i-2j+3k The vector in the direction opposite to a  is  -a.…

Q: find the diJ tance betueen the vectors

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Q: 6- which of the vectors X-(1,2),Y =(0,1),Z =(-2,-4 ) ,W=(-2,1), U=(-6,3) are orthogonal ,in same…

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Q: Determine the figene valves and Vector for 2 A=-1 2 -2

A: (A-λI)X=0 A= given matrix λ=constant I=identity matrix

Q: are the vectors u=(-4,2) and v=(-1,2) orthogonal, parallel, or neither?

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Q: 2. If a --i+3j-k and E-2itj-3K decompose vectoes E into the sum of two vectors, one is paralled and…

A: This question can be solved using the concept of condition of two vectors to be parallel and…

Q: Give a vector of length 13 that is parallel to (-1,2, –2).

A: Topic- vector calculus

Q: What is the length of the vector (1, 4, 5, -3) in R^4?

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Q: Find the vector pointing in the direction opposite that of (6, –8) with length 20.

A: The given vector  6,-8 For a given vector v, to find a unit vector u in opposite direction of v…

Q: Find the magnitude of the projection of (– 5, – 7) onto the vector (– 8, - 4)

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Q: Find the vector that has the same direction as (6, 2, -3) but has length 2.

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Q: For the vectors u = (- 1,3) and v= (- 4,2), calculate proj,u and scal,,u. proj,u = ( -2,1) scalyu

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Q: What is the vector equation of the line segment that connects point P(1,−1,2) to point Q (4,1,7)?

A: Given, A line segment passes through the points P1,-1,2 and Q4,1,7 We have, the vector equation of a…

Q: Suppose L(5, 4) was reflected across the line y = x then translated along the vector . What is the…

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Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: Find the vector that has the same direction as (3, 2, -6) but has length 5.

A: Just follow the flow and you are done.

Q: Suppose (vector u)=(3,-4,-5) and Vector v=(2,-1,2)u+v=?u-v=?v-u=?3u=?(-1/4)v=?2u-3v=?I appreciate…

A: u=(3,-4,-5)v=(2,-1,2)

Q: Let X=(1,-3)t be the transpose of vector (1,-3). If you rotate X by angle of π/3 what are the…

A: The transpose component is X=1, -3t

Q: The vector with terminal point at P(-5,0,3) and initial point at Q(6, 2, –8) is equal to the…

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Q: 6. Find the unit vector in the same direction as v. If u = (-12,8) and v = (-5,-12), find:

A: Consider the vectors u=&lt;-12, 8&gt;,    and    v=&lt;-5, -12&gt;. Need to find the unit vector in…

Q: Express à = (3, 1, – 1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

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Q: 7. Find a vector that has the same direction as (-2,1, 2) but twice the length.

A: GIVEN DATA : Vector of direction -2, 1, 2       TO FIND : The vector of the same direction but twice…

Q: he vector as a

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Q: Find the vector that has the same direction as (2, 6, -9) but has length 4.

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Q: 2. The unit vector in the same direction as (-6, 12) is

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Q: The vector from the origin to point A is given as 6ax – 2a, – 4az, and the unit vector directed from…

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Q: Write down the vector equation of the line that passes through the points (x,y,z) = (2,3,7) and…

A: The given problem is to find the vector equation of line that passes through the given two points.

Q: Find the magnitude of the projection of (- 1, 2) onto the vector (3, 5)

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Q: Find a unit vector u in the direction opposite of (-9, –2, –3). u =

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Q: Find the vector in R' from point A = (-2, –3, 8) to B = (9, –4,–3). AB = help (vectors)

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Q: Find the unit vector with same direction as  ⟨ 6, 11 ⟩

A: We find the magnitude of  ⟨ 6, 11 ⟩ first

Q: For the vectors u = (-4,1) and v = (-2,3), calculate projyu and scal, u. projyu = OD

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

Q: Find a vector a that has the same direction as (-8, 9,8) but has length 3.

A: The solution is given below

Q: find two unit vectors orthogonal to (-1,-1,5) and (-5,-,3,3)

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Q: )Find the vector in R2 from point A = (8,9) to B = (-3,5). AB = help (vectors)

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

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Q: Find the unit vectoru in the di rection of the vectorv=3(2, 2, 1).

A: