Given u = −3i + 5j and v = −24i + 40j, are u and v parallel or orthogonal? Explain.  a The vectors are orthogonal because cos θ = 1.  b The vectors are orthogonal because u ⋅ v = 0.  c The vectors are parallel because cos θ = 1.  d The vectors are parallel because u ⋅ v = 0.

Q: Find the angle theta between the vectors. u=(3,4,0), v=(-4, 3,4)  Theta= ? Radians

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Q: If θ is the angle between two nonzero vectors u and v, then cos θ = ________.

A: If θ is the angle between two nonzero vectors u and v, then    cos (θ) = (u.v)/(||u|| ||v||)

Q: Vector A is 3 units long at 25° and vector B is 3.5 units long at 105°. Draw the two vectors in a…

A: (a)     The graph of the two vectors in a coordinate system:

Q: Three forces of A, B &C act on a bolt as shown in the figure below. Where A = 360 N, B = 480 N and C…

A: Introduction: Force vectors, such as the one shown above, are referred to as two-dimensional force…

Q: nd the angle e (in degrees) between the vector u = 5i - 3j v = -5i - 5j

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Q: 1. Three vectors are given by: å = 2î – 3ĵ + 5k, b = -2î + 7j – k and č = lî + 2j – 4k. axb Find a,…

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Q: 3 = w = -2i + 53 i = -5j å = b = -yỉ + xj

A: Given:v⇀=6,-3,w⇀=-2i+5j,z⇀=-5j,a⇀=x,y,b⇀=-yi+xj

Q: Find the unit vector in the direction of v. v = -6.1i + 3.5j 6.1 3.5 - u i+ 7.03 7.03 ×

A: Here is the step-by-step explanation:​​Given vector:v=−6.1i+3.5j​We have to find the unit vector (u)…

Q: The direction angle of v is defined to be the angle 0 (0° <0< 360°) in standard position with 3…

A: To calculate the direction angle of given vector:

Q: roblem. for the vectors u and v with magnitude |u|=6 and | v| =7, find the angle theta between u and…

A: Given:  |u|=6  | v| =7   To find: find the angle theta between u and v   which makes |projuv| =1.