A. Find the values of x such that the angle between the vectors <2,1,-1> and <1,x,0> is 45. B. List four main applications of vectors?

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = ‹-3, 4› b =…

A: The vectors a= &lt;-3,4&gt;b=&lt;21,2&gt;

Q: In the previous question, what is the angle between the two given vectors to the nearest degree? a)…

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Q: Given 2D vectors a and b such that la= 7 and 1b=8 find the angle between the vectors if: a) la +b| =…

A: topic - angle between vectors

Q: Let ä = ( – 2, 0) and b = (2, – 5). %3D Find the angle between the vector, in degrees.

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Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 11i + 5j, V = −13i…

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Q: Determine the angle between the following vectors, to the nearest whole degree. p = [-3, 5, – 1] q =…

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Q: Suppose that U and V are vectors of lengths 2 and 3, respectively. If the angle between U and V is…

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Q: Given the vectors shown, sketch ủ +v, ū-v, and 2u .

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Q: 33. If 0 is the angle between two nonzero vectors v and w, and v· w < 0, what is the range of 0?…

A: Use the geometric definition of the dot product to calculate the angle between two non        zero…

Q: The angle between the vectors i = î + 2î – 4k and w = 2î + 3ĵ + 5k is - obtuse. Select one: OTrue…

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Q: Given u = and v = find the angle between the vectors and и V

A: Given vector u→=&lt;4,-1&gt; and v→=&lt;3,5&gt; Formula to be used u→.v→=u→v→·cosθ

Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: v=6,9 and point in the same direction -24,-27

Q: In tho ciagram above, PQ and R are vectors. Which of the following options gives the correct…

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Q: What is the angle between the vectors u = and v = ? 213° O 188° O 111° 120°

A: Solution:

Q: Given |?⃗| = 8 and |?⃗⃗| = 5 . If the angle between the vectors is 120° , determine ?⃗ ∙ ?⃗⃗.  DOT…

A: By using definition of Dot product of vector that is: v. u =|v||u|cos(w)  w be the angle between…

Q: 02. Given the vectors : A = (3.-1, 2), B = (0, 1, 1) and C- (2, 2,-1), find: the angles between the…

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Q: Let the angle between two nonzero vectors u and V be 45°, the magnitude of the vectors be a and 2…

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Q: 4. Given a = 5 m and b= 7 m, and the angle between the vectors ā and b is 102°, determine a +b,…

A: As we know that the expression for a→+b→ a→+b→=a→2+b→2+2a→b→cosθ Where; θ is the angle between…

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = -5i + 7j, V = 6i +…

A: To find: The angle between the given vectors. Given information: Concept used:

Q: If u, v and w are mutually perpendicular vectors, which of the following would not be true? O a) v•…

A: Given  vector u v and w are mutually perpendicular  .  ie .    u.v=v.w=u.w=0

Q: Suppose u = (-1.8,-2.1) and v = . Find the angle between the two (position) vectors u and v. Provide…

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Q: 3. Given the vectors v = i- 2j – 2k and w = 31 – 5j + 4k, find (a) the cosine of the angle between i…

A: The given vectors are, v→=i-2j-2kw→=3i-5j+4k The magnitudes of the vectors are as,…

Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction? (12,…

A: Solution:Given     v=(6,9)To find the vector are parellel to v and point in the same direction.

Q: An angle between vectors p and has a measure of 120°. If p =8 and |7 8, calculate 戸(p- F).

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Q: If à = 2a, + 2a,y – a, and B = 3a, + 2a, – 6a, are vectors, find (a) Ả ·Ē (b) Ả × B (c) Angle…

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Q: Given the following vector: u=(1,2,-4) and v=(2,3,5). Find the angle between u and v. And the unit…

A: Given vectors are u=1,2,-4 and 2,3,5. To find the angle between u and v and the unit vector.…

Q: Given that the vectors a=(6,-1,2k)  and b=(-1,k+1,4) are perpendicular, what is the value of k?

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Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: The vectors v=6,9, To determine: Whether the vector -24,-36 is parallel to given vector or…

Q: Let a = (- 3, 2) and b = (2, – 5). Find the angle between the vector, in degrees.

A: Given:           a→=-3, 2 and b→=2, -5 We know that the dot product of two vectors is defined as…

Q: If two nonzero vectors v and w are orthogonal, then the angle between them has which of the…

A: Two non-zero vectors v and w are orthogonal if angle between them is π2. The dot products of two…

Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i + 5j, V = −11i…

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Q: For this problem, define the vectors v = and w = . Blank 1: Compute v - w. Blank 2: Is the angle…

A: Explanation of the answer is as follows

Q: Use the Law of Cosines to find the angle α between the vectors. (Assume 0° ≤ α ≤ 180°.) v = 7i + 7j,…

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Q: Find the angle O between the two vectors given below. 0%3(5,2)cnd v= (-6,-1). Ako drawa figure.

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Q: (1) Let 0 be the angle between vectors A and B, find the value of the angle 0 when |-5V3A x B = 5Ã.B

A: To find the angle θ between vectors A and B. It is given that,

Q: Suppose that u and V are vectors of lengths 2 and 3, respectively. If the angle between u and V is…

A: Dot product of two vectors u and v is given by

Q: For the given vectors: a = (2,–3), b = (0,3), c = (1,4), find: (a) 3å – 6+ 2č (b) angle between the…

A: a) this is the case of scalar multiplication and then addition and subtraction. So 3 times of vector…

Q: Consider V=(6, -3) & W=(-4, 8) Find angle between the two vectors.

A: Recall: Angle between two vectors:     Let a→ and b→ be two vectors then,             cosθ=…

Q: Let ā = (4, 3) and b = (– 4, 4). Find the angle between the vector, in degrees.

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Q: Let the angle between two nonzero vectors u and V be 30°, the magnitude of the vectors be 3 and x…

A: Solution-

Q: The angle that the x-axis make with the plane containing the following two vectors is A = 4â – 3 B =…

A: To find the angle

Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i, V = −4j ? =

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Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u- 2j, v = 9i - 4j…

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Q: Given 2D vectors a and b such that |a|= 7 and |b| = 8 find the angle between the vectors if: a) |a…

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Q: Find the angle between the two vectors v, = and v2 = give the answer in degrees, rounded to one…

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Q: Given that the angle between the vectors a and b is n/3, then the angle between the vectors -a and b…

A: Angle between two vectors a and b is π3 Let us find the angle between -a &amp; b  Represented in a…

Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i + 6j, V = −12i…

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Q: Let a = (4, 1) and b (4, – 1). %D | Find the angle between the vector, in degrees.

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