In many applications, the angle 0 between vectors play an important role; usually in the form of either cos(0), or sin(0). Given the two vectors -2 compute cos (0) and w 2 12

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 14i V=-7i

A: To find Angle between two vector a→,b→ we use, cos α =  a→·b→|a→|·|b→|

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

A: u = 1i - 3j

Q: The horizontal component of vector a is equal to the vertical component of vector 6. If 30° is the…

A: Components of a vector v→ :  Horizontal component is v→ cos θ Vertical component is v→ sin θ where θ…

Q: Given the vector i = ( – 2, 5), find the magnitude and angle in which the vector points (measured…

A: We have given the vector;

Q: Compute the indicated vectors and also show how the results can be obtained geometrically. b-c

A: Given: b=23, c=-23

Q: 4 cos(x) = 4 cos(x)i - 4 sin(x)j -4 sin(x) u3D( )i+( ) j

A: solution is given below

Q: Suppose that a vector v in g2 has a length of 2, and lies in the 4th quadrant, with initial point at…

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Q: The values ​​of the three vectors are A = i + j + 2k, B = 2i + j, If C = 3i - 2j -4k, then [(A + B)…

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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: Find the angle between the vectors. (Round your answer to the nearest degree.) a = b = ||

A: Given,           The angle between the vectors a=<3,1> , b=<0,4>We know that,…

Q: Given the vector u = 2i + 6j, find the magnitude and angle in which the vector points (measured…

A: Given :u=-2i+6j

Q: Suppose the vector t has magnitude 34 and makes an angle of 200° with the positive x-axis (measured…

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Q: Find the direction angle of the vector v=-8i– 5j. That is, find the angle between 0° and 360° that v…

A: We know that the direction angle of the vector  xi+yj that makes with the positive x-axis measured…

Q: Find the angle between the two vectors, rounded to the nearest tenth of a degree: u = i +j+k, v = 3i…

A: Given Data: Two vectors: u=i+j+k=1, 1, 1v=3i-4k=3, 0,-4 The dot product of two vectors is, u·v=1, 1,…

Q: When analyzing the vectorĀ = 2i – j + 3k To the sum two vectors, the first is parallel to the vector…

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Q: When the angle between vectors u and v is between 0° and 90°: || You can't tell O t • 0

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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: For what value of t, if any, is the vector (4t, -1) parallel to the vector (4, -1) ?

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Q: Using the vectors P = î cos 0 + ŷ sin0, Q = î cos 9 – ŷ sin o, R = â cos 4 + ŷ sin ø, prove the…

A: (a)

Q: Find the angle e (in radians) between the vectors. (Round your answer to two decimal places.) = n 3i…

A: Given,         u=3i+4j and v=-2j

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

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Q: Given 2 non-zero vectors ū and v, calculate (4ü +3v)•(2ũ – v) and express the final answer in terms…

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

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Q: Find cos(0) if 0 is the angle between the vectors u = 4i – 3k and v = 2i – 2j + k

A: Given,           u=4i+3k           v=2i-2j+k

Q: In a triangle ABC, points E and F are on the sides AC and BC respectively, such that AE is 1/3 of AC…

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Q: For what value of t , if any, is the vector (4t, -1) parallel to the vector (4, -1) ?

A: Given :4t,-1 and 4,-1

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: Find the angle e (in radians) between the vectors. co()i - sin(); u = cos 4 v = cos i + sin 4 4 e =…

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

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Q: For what value of t if any, is the vector 5t, 1] parallel to the vector (4, -1) ?

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Q: Given the vectors u=(5,8) and w =(-4a,5a+5), where a is a constant. If it is known that u' +w°…

A: u→=5,8w→=(-4a,5a+5)

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: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k ; 11+5/-6k dw (C): If w = tan x and…

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Q: Suppose the vector t has magnitude 64 and makes an angle of 243° with the positive x-axis (measured…

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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 given vectors. Round to the nearest tenth of a degree. u = i - j, v = 3i…

A: Here we will find the angle between given vectors,

Q: Given the vectors s = 6i-4j and t=-i+2j, find s t. S.t = i j

A: topic - dot product of vectors

Q: Suppose the vector s has magnitude 73 and makes an angle of 114° with the positive x-axis (measured…

A: Answer

Q: Given the vector u (2, 2), find the magnitude and - angle in which the vector points (measured…

A: Given that: u→=2,-2. Therefore, magnitude of the vector is= u→=22+-22=22.

Q: Q2/ what the sine of the angle between the vector d= 3î + ĵ + 2k , b= 2î – 2j + 4k -

A: Here given vector as a=3i+j+2k, b=2i-2j+4k Thus a=32+1+22=9+1+4=14 a=22+-22+42=4+4+16=24=26

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 16i- 8j V = 3i+11j…

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Q: Find the angle 0 between the vectors. (c0 ST, sin S), v- (cos , sin ) 5Tt 4 COS 3 COS 4 radians

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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: 1. Given that the vector u = (x,2) has magnitude 4 and that its direction angle with the positive x-…

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Q: Find the angle e between the vectors in radians and in degrees u = cos()i + sin()i, v = cos( )i +…

A: Answer as follows

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

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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 0 between the given vectors to the nearest tenth of a degree: u = 13î – 8î and 3 = 2î…

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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: Given the following vectors, solve for the required.  A = 5i - 9j - 7k B = 6j + 3k +2i C = 4j -…

A: This is a problem of vector calculus, which involves the concept of dot product and cross product.