1. Find the unit vector in the direction w^ = 6^ - 2j^
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- Question number 741. A vector, V, has a magnitude of 250 N and a direction of 65°. Determine the following: a. Vx = b. Vy=The force F has a magnitude of 600 Ib and acts along the line AM where M is the midpoint of the vertical side OB of the parallelepiped. Express Fas its magnitude times the appropriate unit vector and then determine its x-, y-, and z-scalar components. |18" M F = 600 lb !! A 12" 15" Answers: Vector F= (600 Ib)( i i+ i j+ i k) Scalar components Fx i Ib Fy = i Ib E. = Ib
- Given two vector A = -5.00i –- 9.00j + 4.00k and B = -4.00i + 6.00j – 2.00k what is the vector product A × B.(a) What is the sum of the following four vectors in unit-vector notation? For that sum, what are (b) the magnitude, (c) the angle in degrees, and (d) the angle in radians? Positive angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise. ➡️ E: 6.00 m at +0.900 rad F: 5.00 m at -75.0° G: 4.00 m at + 1.20rad H: 6.00m at -210°Two vectors are given by a = 9.01 + 8.0 and B b = 6.7î + 2.6ĵ. Find (a) a × b, (b) à · b, (c) a + b). b, and (d) the component of a along the direction of b? (a) Number i (b) Number (c) Number (d) Number i i i Units Units Units Units
- 7. Draw the vector fand find the magnitude and direction, counter clockwise from the +r-axis. (a) z=2.5, y=1 (b) ex=-0.5, y=1 (c)₂=-1.5, U-1Two vectors a and 6 have magnitudes 4 and 2 respectively. Also the angle between a and bis Find a .. 130Use the definition of scalar product, a = ab cos 0, and the fact that a . the two vectors given by a = 3.01 +3.0 + 3.0k and b Number i Units = axbx + ab + a₂b₂ to calculate the angle between 4.0î + 9.0ĵ + 7.0k. =