2. For the vectors (1, 1) and =(-1,1) Find the dot product u · v, and the angle 0 between the two vectors. Express the angle in degrees and round to the nearest degree. u ·v =

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.

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Q: Find the angle 0 between the vectors a = (V3, –1) and b = (0,11).

A: Find angle between given vectors

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: Find the angle (in radians) between the 2 vectors U(-3, 4, -4) and V(1, 2, 2)

A: Given vectors are,               U(-3, 4,-4 ) and V(1, 2, 2 )

Q: Find the angle 0 between the vectors. u = (2, 2), v = (4, -4)

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Q: find the acute angle between the given linesby using vectors parallel to the lines. 2 - x + 2y = 0,…

A: 2-x+2y = 0⇒2y = x-2⇒y = x-22⇒y = x2-1             --(1)So, vector parallel to (1) is a→ = 12i ,…

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: Find the angle a between the vectors -5 and

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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: 2. Determine the angle, to the nearest degree, between the vectors * = (4,6,-2) and y = (1,8,2)

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Q: Suppose that u and v are vectors in R7 both of length 2√2 and that the length of u - v is also²√².…

A: Solution :

Q: Find the magnitude of the vector and the angle 6,0° <0<360°, that the vector makes with the positive…

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Q: Find the angle θ between the two vectors.u = (3, 3), v = (−2, 2)

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Q: is The unit vector in the direction of v=(4,0,–3)

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Q: Find the cosine of the angle between the vectors P1 (x) = 1 + 2x – x² and p2 (x) = 2 – 3x – 2x² with…

A: We have to solve given problem:

Q: Given the three vectors A = 3ix + 2iy – İz B = 3ix - 4iy – 5iz C = ix - iy + iz Find the following:…

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Q: Find the values of x such that the angle between the vectors u = (2, 1, -1) and v = (1, x, 0) is…

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Q: Find the angle a between the vectors and -3

A: The question is from the topic of vector algebra

Q: Find the measure of the angle between the two vectors. 1) u = (4, 9) v=(-3, -8) 2) u = (-8, 9) v =…

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Q: latél Show that if a is perpendicular to each of the vectors and then a is perpendicular to 26 +4

A: The detail solution is given below

Q: Find the magnitude of the vector a and the smallest positive angle 0 from the positive x-axis to the…

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Q: 2. If å and b are two vectors with lengths 2 and 5 and angles between 150°, respectively, obtain the…

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Q: Find the angle between the two vectors u 2i+ j-7k and v =i-j+ 4k

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Q: Find the angle a between the vectors 5 2 and 1 a =

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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: 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: Find the angle between the given vectors to the nearest tenth of a degree.u = &lt;2, -4&gt;, v =…

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

A: Given: 6j, -4i

Q: The angle between the two vectors is not equal to Select one: O True O False u= and v= 0= π

A: Here we use the concept of dot product of the vectors.

Q: Find the angle between the vectors u (2, –1) and v = (1, 1).

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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 angle O between the vectorS 3. and -2

A: Given: 34-2 &amp;114 We can write given vectors as, u=3, 4, -2v=1, 1, 4 We know that,…

Q: Find the angle between the vectors u = (2, 5) amd v =

A: Given: There are two vectors: u=2,5v=4,-3 To determine: The angle between the given two vectors.…

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: 1. The two unit vectors parallel to the line y 5x + 2 are and 2. The two unit vectors parallel to…

A: 1. Put x=t, then y=5t+2 and the parametric equation of the line is rt=t,5t+2=0,2+t1,5 and parallel…

Q: For vectors ū = (1,-5,2) and v = (3, 1,-4), calculate the following: a) ū• i b) the angle between ū…

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Q: Find the angle θ between the vectors.u = (3, 1), v = (−2, 4)

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

A: Vector and scalar projection

Q: Find the angle 0 between the vectors i + 2j - 3k and -i + 2j + k.

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

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Q: Find the vector v that has magnitude 3 and makes the angle θ=1/4π with the positive x-axis.

A: Given: |v|=3 θ=1/4π

Q: 3. Find the angles between the vectors: u = 2i + j, v = i + 2j – k а. -

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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: b. Find the angle between the vectors u = (18, –1, –7) and v = (-37,35, 2)

A: u = (18, -1, -7),  ∥ u ∥ = √[(18)2+(-1)2+(-7)2] = √374 v = (-37, 35, 2), ∥ v ∥ =…

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: Find the angle a between the vectors L3] and]

A: Find the angle between vector s

Q: Find the angle a between the vectors 3 a || -1 -2 - and 1

A: