:P and Q are two vectors and "0" is the angle between them. Given that PxQ=(P.Q), find the value of the angle “0”.
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Q: For the vectors A = 2? •38, B= 39- 5 2, and find: %3D - (a) V = A B+C (b) V (C) V
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- Three points, A, B, and C, exist on an XY-plane. The positions of points A and B are (3,1) and (1,-1) respectively. The position of point C is (-1, 3). Determine the position vector from point A to point C. Determine the unit vector for this position vector.On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of them has components (4, 4). Their sum is (3,6). What is the unknown second vector and what is its angle to the x-axis? Hint: The angle is the one that has a tangent that is the ratio of its y to its x component, or a sine that is the y component divided by its length. The second vector is (-1,-2). It is about 63° down from -x. The second vector is (7,10). It is about 55° up from +x. The second vector is (1,-2). It is about 63° down from +x. The second vector is (-1,2). It is about 63° up from -x.Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find u X (-9v)
- A force is specified by the vector F = [(100)i + (-110)j + (70)k] N. Calculate the angles made by F with the positive x-, y-, and z-axes. Answers: ex= i 0 0y = i 0₂ = i OWhat is the angle between theses two vectors A = 14i – 5j +11k and B = 3i + 7j+ 10k ?Find the magnitude of the vector v = 9 cos(90)i + 9 sin(90) j. (Give an exact answer. Use symbolic notation and fractions where needed.) ||v|| =
- Consider vectors a = (3, −12) b = (−1, 4)and c = 0. Determine the non-zero scalars ? and ? such that c = ? a + ? b.Let the x-, y-, and z-axes be identified as axes 1, 2, and 3, respectively. Find the angle between A and axis 2 if A=0.17, Ay = 2.76, and A₂ = 2.98. [Hint: Write the unit vector in the direction of axis 2 and use A. B = A₂ B₂ + A, B, + A₂B₂ = AB cos 1 Φ Record your numerical answer below, assuming three significant figures. A