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

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

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Q: Determine the angle between the given vectors. (а) а — 3і — 2ј, b %3 2i + 2j

A: a→=3i - 2jb→=2i + 2j

Q: 1. Consider the vectors ū = (-1, 2), ở = (2,3) and w = (a, 3). (a) Find the resultant of ū and i,…

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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: u = (1,2, 0), v = (-1,4, 1)

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Q: The unit vector of the column on the plane 2x + 2z - 4y = 3 is the vector.

A: THE GIVEN QUESTION CAN SOLVED AS SHOWN IN STEP2.

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: If la| = v2, la + b| = v6 and la – b| = v2, find the angle between the two vectors å and b.

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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: Use a double integral to find the area of the region D. r=√√√6 D

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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: Consider u, v, w € R'as u = 1 1 w = 2 Choose the vectors that have the HIGHEST cosine similarity. u…

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Q: 18. Find the projection of (0,4) onto (3,7).

A: Answer

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 magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

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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: What vector has the same magnitude as the vector u = (4,-3) and points in the opposite direction?

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

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