Determine the magnitude of the resultant of the given vectors. Then give the direction of the resultant. 8) R = 20N 118° 39 N

Q: 1. Find the angle between the following two vectors. and

A: The given vectors,  8,-5 and -9,-7

Q: Given the two vectors A = -9i- 2j -7k and B = -3i- 4j +8k, Find th (e) Ax B (f) the angle between…

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Q: Pls help ASAP

A: Given that î, ĵ and k̂ are unit vectors .

Q: 10. In the figure here, D is the midpoint of side AB of triangle ABC, and E is one-third of the way…

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Q: In the figure here, D is the midpoint of side AB of triangle ABC, and E is one-third of the way…

A: Consider the figure shown belowAssume , D is the midpoint of side AB of triangle ABC , and E is…

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

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Q: A If the magnitude of vector A is multiplied by 2, which of the following vectors would be the…

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Q: Solve for the magnitude of the resultant and the direction cosines of the following cartesian…

A: The given problem to find the magnitude of resultant vector and direction of cosines of the given…

Q: Given the vectors v 4i + 2j - 3k and w = 3i – 4j + k.. Find the angle between v and w.

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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: 7) Add the given vectors by components. Remember to give both the magnitude and direction of the…

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Q: Given the vector ü = (4, 5), find the magnitude and angle in which the vector points (measured…

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Q: K118 lb 21° 125 et 9) R = = 38° 58 130 ll I|||

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Q: Consider the following points P and Q. a. Find PQ and state your answer in two forms: (a, b, c) and…

A: We have given two points P0,0,2 and Q-2,4,0.

Q: 6. Find the magnitude of the resultant of two vectors u and v, given u=2, y =7 and the angle between…

A: We have to find the magnitude of the resultant of two vectors and v and the angle between the…

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: Obthe resulting parallelogram from the following two vectors that form non-parallel sides A = 3 + 2…

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Q: Given the equation, what is the angle between the two vectors? . Given X = 3j and Y = 2î + 2j, O A.…

A: We can find the angle between two vectors as below.

Q: 4. Given a 6= ab cos 0 and a b=Dab + a,b,+a,b, calculate the angle between the two vectors given by…

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Q: = 3. 6. Find the magnitude of the resultant of two vectors u and v, given = 5 and the angle between…

A: Explanation of the answer is as follows

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 magnitude and direction angle of the resultant of each pair of vectors. t = (17, 12) u =…

A: We use vector additions.

Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: 36) -24i + 32j

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Q: The magnitude of the vectors and are 6 and 10 respectively, and the angle between them is 45°.…

A: The equation of the vector dot product is A⋅B=|A||B|cosθ, where θ is the angle between the vectors A…

Q: 3. Find the magnitude, ||||, of each of the following vectors: a. = -51 + 12j b. = -i- j

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Q: Consider the following points P and Q. a. Find PQ and state your answer in two forms: (a, b, c) and…

A: Given points are P3,8,12 and Q3,9,11. a). To find PQ→ PQ→=Q-P=3,9,11-3,8,12=3-3.9-8,11-12=0,1,-1…

Q: mine the angle between vectors M = (1

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

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: Given the vector u = 3, - 6), find the magnitude and angle in which the vector points (measu…

A: We have been given the vector  u→=&lt;-3,-6&gt;

Q: Given vector u = 5i – 2j, what is its magnitude and direction? (a) v29; –21.8° (b) v29; 158.2° (c)…

A: The solution is :

Q: If a- b = 30, ||a|| = 5, and the angle between the vectors a and b is 30°, what is the magnitude of…

A: Given that a→·b→=30, ||a→||=5 and angle between the vector a→ and b→ is 30°.

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: Given the vector ū = (– 2, 4), find the magnitude and angle in which the vector points (measured…

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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 value of a in the vector i = (a, b) if b = 48 and ||ū|| = 50 %3D v is in Quadrant I

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Q: The magnitude of the vectors and are 2 and 11 respectively, and the angle between them is 53º.…

A: Given, |u|=2, |v|=11 Angle between u and v is θ=53°.

Q: 2. Find the angle between the following two vectors. and

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Q: Determine the magnitude of the resultant of the given vectors. Then give the direction of the…

A: Magnitude of the Resultant of vectors is calculated as shown below using parallelogram law of…

Q: Given the vectors v = 4i + 2j + k and w = 3i – 4j + k. Find the angle between v and w .

A: We know, the angle between two vectors v→ and w→ is θ = cos-1v→·w→|v→| |w→|

Q: Here is a drawing of vectors a, b, and c. 18 ć Which equation correctly describes a in terms of b…

A: Given drawing of three vectors.

Q: Given the vectors a = (−2, −5, −3) and b = (1, −4, 2), find A unit vector in the direction of a.

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Q: 1. Find the angle between two vectors ā and 5 with magnitudes 3 and 2, respectively having ā-5 = J6…

A: Given,            Magnitude of a→ and b→ are 3 and 2 and their dot product is a→·b→=6.To find : The…

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

A: The given figure is:

Q: Find the vector v with a magnitude of 302.2 and a direction angle of 55.4°. Write the answer in the…

A: We have to find a vector v with a magnitude of 302.2 and a direction angle of 55.4°.

Q: Given two vectors P = 9i + 9j + (-9k), Q = (-6j) The angle between the two vectors is

A: We have two vectors P=9i+9j-9k and Q=-6j. Then the angle between the two vectors.

Q: Find the direction angle of v for the following vector. v = 5i - 4j What is the direction angle of…

A: Given : v = 5i - 4j V=(5 , -4 )