A force F = 6î – 3j – R passes through the point B whose position vector is b = i - 4j + R. Determine the vector moment, M, of F about the point A with the position vector à = -i - 3j + 5R . Also find the angle in between. %3D

Q: Find the unit vector in the direction of v. v = -6.3i + 3.7j = n

A: Topic = Vector

Q: Find the angle between two vectors ū = (1, –1,0), and ở = (2, –1,2) %3D

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Q: Find the unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

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 value of x so that the vector i+2j+xk   makes and angle  pi/4  of  with the positive…

A: i+2j+xkTo Find: Value of x so that the vector makes an angle of π4 with the positive z axis.

Q: Find the dot product of the vector pair. u = and v =

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Q: Find a unit vector orthogonal to both u and v. u = -5i – 3j - 2k | V =

A: Two vectors A and B are said to be orthogonal to each other if and only if their dot product is zero…

Q: Suppose only F acts on the object and with this force only, the object experiences a displacement…

A: Introduction: When a force is acted upon an object, there is a displacement. The dot product of the…

Q: Q2: Find the angle between the vectors à and b where a = i+ 2j – k and b = -i+j-2k.

A: The angle between two vectors A→ and B→ is calculated as, cosθ=A→.B→AB The given vectors are,…

Q: Q4: Find the vector A in 3D coordinates that makes equal angles with all axes.

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Q: 1. Given the points P=(3,-1,-2) and Q=(2, 4, 0) answer or do the following: a) Find i = PQ :_ b)…

A: We can write the points P and Q as P→=3i-j-2k and Q→=2i+4j-0k. We have to find the vector v where…

Q: Find the direction angle for vector u = 4i + j+ 3k y = 48.33', a = 78.69°, ß = 43.96° B= 38.33', a =…

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Q: Find the angle that the vector v = 5ij makes with the vector i (assume it is = measured in the…

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Q: Find the direction angle 0 of the vector v = .

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Q: Question 1. The inverse Laplace transform of 88²-628-6 (s+6) (s2-88+25) is: peat+qest cos(wt) + ret…

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Q: = - A. Find the unit vector that makes an angle (0 with the positive x-axis.

A: The unit vector makes an angle θ=-3π4 with positive x-axis