1. Find the cosine of the angle between vectors u = (-4,0,3,0) and v = (2,-3,0,6);

Q: The vectors u-(2,-1,1) and v= (1,1,2) in R3, the angle e between u and v is

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Q: find the angles between the vectors:x+y=1,2x+y-2z=2

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Q: Vector A is 35 m long and makes an angle of 60° clockwise from the positive Y-axis. Vector B is 55m…

A: We have given a vector A of magnitude 35 m and makes angle 60∘ from the positive y-axis i.e. 30∘…

Q: 2. Find the angle between vector [2, -5,7] and vector [6,4,1]

A: Vector [2,-5,7] and vector [6,4,1]  We have to find angle between these two vectors

Q: Answer the following within 10-5. ive inserted the method that being used in this problem please…

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Q: f vectors u=(1,1,3) and v=(2,0,1) , find a unit vector which is perpendicular to both u and v.

A: we have given two vectors u =1, 1, 3 & v= 2, 0, 1 we have to find a unit vector which is…

Q: Find the smallest angle between the vectors v = (1,1,2) and w= (2,4,5).

A: The given vectors are,

Q: sider the following coordinates and vectors, A(-2, 1, 0), B(2, -2,0), u = 3i + 2k, v = 4i + 7j+5k,…

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Q: 1. Find a unit vector that has the same direction as the vector (-4, 2,4).

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

Q: (b) Find the angle between the vectors u and v if u = (2,3,5) and v = (1, -4,3) in %3D R3.

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Q: 5. For the vectors = (-3, –4) and v = (-2, 2) Find the dot product u · v, and the angle 0 between…

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Q: Let u = (6, 2, 4) and v = (1, 2,0). Find: (a) d(u, v). (b) the angle 0, in radians, between the two…

A: See the detailed solution below.

Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

Q: Find the cross products u xv and vxu for the vectors u = = (3,5,0) and v = (0,3, - 6). uxv = (Di+…

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Q: 2. Consider the two vectors in R³ with components u = (2,-1,-1) and v = (-2,1+ √√3,1-√3). (a) (12…

A: Step 1: Step 2: Step 3: Step 4:

Q: b) Consider the vectors u = (2c, 2, −4), v=(c, c, 3)and w = (-1, 2, 3). Find the value(s) of…

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Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

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Q: 5. For vectors given the vectors v =(-4,-3) and w (-1,-1), find: (a) Sketch, v+w below. Find its…

A: We can solve as follows

Q: Find the angle between the vectors v and w v = (2,−3)T , w = (3, 2)T

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Q: Find the values of x such that the angle between the vectors and is 45°.

A: Given that The angle between the vectors 6,1,-1 and 1,x,0 is 45°.

Q: : (2,1,2). 1- Find the unit vectors u1 and u2 in the directions of v = (1,3) and w = Find unit…

A: If we have a vector u=a,b,c, then the unit vector that is in the direction of vector u is the vector…

Q: 4. For the vectors (2, 1) and = (1, 2) Find the dot product u · v, and the angle 0 between the two…

A: According to the given information, it is required to calculate the dot product and angle between…

Q: Find the angle between the vectors r = (-1, 2) and s = (4, 2)

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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: 3. Calculate the angle (degrees), between vectors p = 2i +9j – 4k and q = -3i + 5j + 6k correct to…

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Q: mine the angle between vectors M = (1

A: Here we vector M=1,2,5 and vector T=-2,-3,3

Q: it = (1, 0) for the unit vector, Daf(-3, 4) = fay(-3, 4) to you. True False

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