1-If A = 4i + 6j and B = 3i + 5j, what is the magnitude of C = A - B
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1-If A = 4i + 6j and B = 3i + 5j, what is the magnitude of C = A - B
4-If C = 6 m at 63°, and D = 38 m at 158°, what is the direction of the sum of these two vectors (in degrees from the positive x-axis)?
5-If C = 6 m at 56°, and D = 12 m at 132°, what is the magnitude of the sum of these two vectors (in m)?
21-Vector A = 4 i + 5.9 j. Vector B = 4.2 i - 5.8 j. Calculate the angle between the two vectors in degrees.
22-Vector A = 6.8 i + 9 j. Vector B = 8.8 i + 3.3 j. The magnitude of the cross product i.e. |AxB| is:
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- 1/3 SS For the given vectors V₁ and V₂ of Prob. 1/2, de- termine the magnitude of the vector difference V' =V₂ - V₁ and the angle, which V' makes with the positive x-axis. Complete both graphical and algebraic solutions.Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.1
- 4. Three vectors are shown in the figure below (not drawn to scale). If |Ã = 12 units, B = 15 units, C = 16 units, 0₁ = 40°, and 0₂ = 30°, determine the magnitude and direction of A. The resultant of the three vectors B. A-2B + 3C y K 0₂ 0₂₁₂ 100 Xy 'n 0, > X Us What is the resultant magnitude vectors if: U1 = 39 meters at 45 degrees u2 = 56 meters at 67 degrees above the -x axis %3D u3 = 39 meters at 45 degrees east of south %3D Give your answer as a whole number of meters (no decimal places).You have two vectors. Vector A = 31 +43 and vector B = 62-53 What is the y-component of 3 A + 2B? 07.6 2 15 O-1 9
- 6. Considering two vectors A and B subtended by an angle 0, the magnitude of A.B is a)|Ä||B|cos® b) |Ä||E]stn© cose d) none of these 7. Ifi is the unit vector of the X- axis then a) ixī = -1 b) ixĩ = 0 c) ixi = 1 d) ixi = 2 8. The average velocity of a moving particle is given by: Ax a) 25 b) At d) None Ax 9. A ball is thrown vertically upwards, at maximum high the velocity is: a) Minimum b) 0 c) maximum d) Vo 10. In the one-dimensional motion with constant acceleration (a), the final velocity is: a) v=Vo - at b) v=Vo + at c) v=Vo + at? d) v=v, - at?1- Please I want answer of this question by typing it. Thanks2. Three vectors A, B, and C are shown in the figure. The x-axis and y-axis are marked in increments of 1.00 m. Determine the magnitude of the vector D = Ã – B + Č ssf60 ssi A 60 ssf60 ssf60 ssf60 ssf60 sse ssf60 ssf60fok 60 s60 00 ssf60 ssf60 ssf60 s ssfoesf60 ssf60 ssf60 ssf60 ssf60 ss 160 ssf60 ssf60 ssf60
- Ajy.4A 25-turn circular coil has radius of r = 3 [cm] and a resistance of R = 10 [Q]. The coil is in a uniform magnetic field of 0.46 [T] that is perpendicular to the plane of the coil. a. magnetic flux? What is the value of the b. What is the value of the induced emf and the induced current in the coil? lemf| = [V] I = [A] Now, the value of the magnetic field is increasing from 0.46 [T] to 2.1 [T] in At = 1.4 [s]. C. emf? lemf| I = What is the value of the induced [V] d. current in the coil? [A] What is the value of the inducedWhat is the resultant magnitude when adding the vectors below? 23 N -23 N V23 V2 23 v2 V46