The vector a is twice as long as the vector b. The angle between the vectors is 25°, and the magnitude of F| their cross product is 16.0. Determine b

Q: Given the vector ü = (1, – 3), find the magnitude and angle in which the vector points (measured…

A: u = 1i - 3j

Q: Which of the following vectors are parallel? 1. Please select the two vectors that are parallel. А.…

A: 1) Two parallel vectors a and b are of the form a=kb, where k is a constant.  We can write <12,…

Q: If the magnitude of vector x is 10, y is 21 and magnitude of x-y is 17 what would x+y be?

A: Use the property of magnitudes to solve this problem.

Q: Let V be a vector has a magnitude is 8 and a direction angle is 153', and let W be another vector…

A: We will solve the problem

Q: Given the cross product of 2 vectors u and v is, u × v = −3i + 2j – k, and their dot product is, u ·…

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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 vector ü has length 12 and points at an angle of 5° The vector i has length 16 and points at an…

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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: The vectors, a and b represent two the same point and forces acting at at is the smallest positive…

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Q: For the two vectors a and b, we have |b| == 5, |a] = v2, and the angle between a and b is a/4. Then…

A: Given two vectors and magnitude, angle of the two vectors then a. b = |a|.

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: α, β and γ are the angles made by the vector with x, y and z axis respectively. The squares of the…

A: Given ,  α, β and γ are the angles made by the vector with x, y and z axisrespectively. We have to…

Q: (1) Let 0 be the angle between vectors A and B, find the value of the angle 0 when

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

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Q: The vector v has a magnitude of 3 and makes an angle of 30° = π6 with the positive x-axis. Write v…

A: Given that the magnitude=3 and angle is 30° with the positive x-axis.  So,  v=3(cos30° i+sin30°…

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: Let the cosine of the angle between the vectors p and q be à such that 2p + q = i + j and p + 2q =…

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Q: Suppose that the magnitude of vector u = 5 and the magnitude of vector v=7 and the dot product of u…

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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?  (2,…

A: Let the 2 nonzero vectors be v and w and also the scalar vector be λ . Both the vectors are said to…

Q: For what value or values of a will the vectors u = 2i + 4j - 5k and v = -4i - 8j + ak be parallel?

A: Given,

Q: The vector u has length 15 and points at an angle of 25° The vector v has length 10 and points at an…

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Q: A vector, - (a,b,c), has a direction angle of 45° with the positive x-axis and a direction angle of…

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Q: The vector u has length 10 and points at an angle of 15∘ The vector v has length 18 and points at an…

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Q: s given 2 vector A and B of non zero magnitude, what is the angle between them if A.B as value -AB/2

A: The dot product between two vectors, X and Y is defined by the formula, X·Y=XYcosθ, where, θ is the…

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: Find the magnitude of each of the two vectors a and b having the same magnitude such that the angle…

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Q: =5, and the angle between u and v is 30°. Find the magnitude (to onc decimal place) and direction…

A: Given that: |u→|=2 and |v→|=5 and angle between u→ and v→=30°

Q: The vector i has length 11 and points at an angle of 15 The vector j has length 18 and points at an…

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

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Q: Find the measure of the angle between the two vectors. 4) u =(-6, -2) v = (6,-6)

A: An angle between 2 vectors is defined as, cosθ=u→·v→|u→||v→|   Here given vectors are,…

Q: Find u * v if u and v are unit vectors and the angle between them is (2pi)/3

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Q: Find the angle between the given vectors to the nearest tenth of a degree. U = 13i - 4j, V = 2i +…

A: For two vectors a and b we know that their do product is a·b=abcosθthen cosθ=a·bab…

Q: The angle between the vectors a=(2,6) and b=(3,-1) is :إختر أحد الخيارات а. 4 b. С. 3 d. 2

A: The required angle is, option (b) π/2 The detailed solution is as follows below:

Q: 1. Find the angle between two vectors a and b with magnitudes √3 and 2, respectively having a b =…

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Q: The angle between the vectors ū = i + 2j – 4k and w = 2î + 3j + 5k is obtuse.

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Q: The vectors a and b represent two forces acting at the same point, and 0 is the smallest positive…

A: Given,           a=7.2 lbs and b=9.7 lbs , θ=110°

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 vector u has length 11 and points at an angle of 20° The vector v has length 18 and points at an…

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Q: Find the angle θ between the given vectors to the nearest tenth of a degree. ​ U = 16i − 8j V =…

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

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Q: and b are two unit vectors such that + 2b and 5 a. 4 b are perpendicular to each other, then the…

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Q: The vector w⃗  is 8 units long and makes an angle of 39∘ with the positive x-axis. What is the…

A: We have to find the component form of vector w.

Q: Find the component form of vector v given its magnitude is ||v|| = 5 and the angle it makes with the…

A: Given that the magnitude=||v||=5 and angle=θ=60°. So the component form is given by:…

Q: Find the angle between the vectors u and v to a nearest degree: u = j + k, v = i + 2j – 3k

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Q: Suppose that |u| = 6 and |v| = 9, and that u times v = -37. Find the angle θ between the vectors u…

A: Vector Question

Q: b) For what values of A, the vectors 2i -j+ 2k and 3i + 22 j are perpendicular?

A: If we have two vectors ai^+bj^+ck^  and a'i^+b'j^+c'k^ , then, these vectors are said to be…