College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- The figure shows two vectors, A→ and B→, whose magnitudes are AA = 6.7 and BB = 5.1. Determine C→ if Part a C→=A→+B→. Express your answer using three significant figures. Assume positive sign for the positive direction of the x-axis and negative sign for the negative direction of the x-axis. Part B C→=A→−B→. Express your answer using three significant figures. Assume positive sign for the positive direction of the x-axis and negative sign for the negative direction of the x-axis. Part C C→=B→−A→. Express your answer using three significant figures. Assume positive sign for the positive direction of the x-axis and negative sign for the negative direction of the x-axis.arrow_forwardLet’s practice drawing some vectors. One the axes below, start at the origin and draw the givencomponent vectors and the resultant vector. Each line is one unit (a) |vx| = 2, |vy | = 3arrow_forwardConsider vector A, with a magnitude of 3, and a vector B, with a magnitude of 2. Are the following relationships possible? If so, sketch a picture that shows an example of how they're possible, and identify all the angles between the vectors that make the relationship possible. (Exact angles, not decimal approximations. No calculators.) Relationship: Possible? Sketch: Angles: a. 1A+삐>5 b. A+ B| = 5 c. A+ B| = 1 d. A+미<1 - 1<|A+삐<5arrow_forward
- Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB| is: :arrow_forwardThree 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.arrow_forwardFind the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR . P(-1,1,0), Q(0,0,1), R(0,0, – 1)arrow_forward
- Let A= (3.0 m, 200south of east), B = (2.0 m, north), and C= (5.0 m, 700south of west). Draw and label A, B, and C with their tails at the origin. Use a coordinate system with the x-axis to the east. b. Write A, B, and C in component form, using unit vectors. c. Find the magnitude and the direction of D = A + B+ C.arrow_forwardFind the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR. Р(- 1,1, - 2), Q(-2,0,1), R(0, -2, - 1)arrow_forwardm Let B = 5.05 m at 60.0°. C and A have equal magnitudes. The direction angle of Ĉ is larger than that of A by 25.0°. Let A · B = magnitude . . 29.1 m² and B C = 36.3 m². Find the magnitude (in m) and direction (in degrees) of A. directionarrow_forward
- Consider two vectors A and B. A = 11 + 133 and B = 14 - 16 Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form (U‚Î + U‚ĵ) N = U₁ =arrow_forwardQuestion: True or False. Why? A vector space must contain at least two vectors. My Comment: I'm confused why this is a question because I believe it to be False. If I draw one vector on a graph with the coordinates (3,5), it is taking up a vector space on an xy coordinate system. Is that incorrect?arrow_forwardConsider vectors a = (3, −12) b = (−1, 4)and c = 0. Determine the non-zero scalars ? and ? such that c = ? a + ? b.arrow_forward
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