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- Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.Moving to another question will save this response. Question 6 Given two vectors A = 7i+ 5j - 2k, and B = 3i – 10j + 6k, what is the angle between the two vectors? O A. 112.7° B. 116.3° O C. 118 4° O D. 115° O E. None of these Moving to another question will save this response.For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Using unit vectors. Figure 30.0° B (2.40 m) 0 A (3.60 m) 70.0⁰ 1 of 1 Write the vector A in (Figure 1) in terms of the unit vectors i and 3. Express your answer in terms of the unit vectors i and j. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients in meters. Ā= Submit Request Answer Part B B- Submit Part C Write the vector in the figure in terms of the unit vectors i and 3. Express your answer in terms of the unit vectors i and j. Use the 'unit vector' button to denote unit vectors in your answer. Express the coefficients meters. 195| ΑΣΦ 6 IVE ΑΣΦ n ä. Submit Part D Request Answer C Use unit vectors to express the vector C, where C-3.00A-4.00B. Express your answer in terms of the unit vectors i and j. Use the 'unit vector button to denote unit vectors in your answer. Express the coefficients in meters. [ΓΙ ΑΣΦ Request Answer ? → O DING ? m ?…
- Two unit vectors, a and b make an angle of 60° with each other. a. Construct a well labelled diagram for 2a-4b b. Calculate the magnitude of 2a - 4band its direction relative to vector a or ô (your choice). Round answers to 1 decimal place.Given: Vector ? = 100?, 30° ? ?? ? ; Vector ?⃑ = 80?, 30° ? ?? ? ??? Vector ?⃑ = 40?, 55° ? ?? ? a. Plot the given vectors in the coordinate plane. b. Calculate the components of vectors A, B and C. c. Write each vector in terms of the unit vectors.2. Two vectors A and B with the magnitude 750 N and 900 N respectively, which create some angles with the Cartesian coordinate as shown in the Figure-1. Consider the unit vectors ê, ê2 and êz for the +x, +y and +z axis, respectively. В А 35° 65°. 25° 20° Figure-1 а. Express the vectors A and B in terms of unit vectors ê,, ê, and êz. b. Calculate the resultant vector R = A+B.
- Two vectors A= 1î - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and (2B)? O A. 60° О В. 30° ОС. 75° O D. None O E. 120°180% P 7:35 stc ksa ll. Second H.W.pdf 1. Draw and label the vector with these components. Then determine the magnitude and angle of the vector. a- A, = 3 ,A, = -2 b- By = -2 ,B, = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles in 2.4 minutes? 3. A car moving along X- axis according on the function: X (t) = 2 t2 + 5 t + 7 on [1,2] Find: a- The average velocity. b- The acceleration at 3s. 4. Julie is walking around a track at a 2m/s for some exercise. She then decides to start jogging so she accelerates at a rate of 0.5m/s for 3 seconds. How far did Julie travel from the time she started to accelerate to the end of the 3 seconds? 5. Ralph uses a 2000 N force to push his car along a road for 1000 m. It takes him500 s to do this a- Calculate the amount of work that Ralph did on the car. b- Calculate the amount of power that he generated.The magnitude of two displacement vectors are d and 2d, and themagnitude of the total displacement is also d √3 . What is the anglebetween these two displacement vectors?a.3π/4b. π/4c. 2π/3d. π/2
- iteo e me cke NUMERICAL PROBLEMS Suppose, in a rectangular coordinate system, a vector A has its tail at the point a(-2,-3) and its tip at b(3, 9).Determine the distance between these two points. nead (Ans: 13 Units) 2. A certain corner of a room is selected as the origin of a rectangular coordinate system. If an insect is crawling on an adjacent wall at a point having coordinates (2,1), where the units are in metres, what is distance of the insect from this corner of the room? s. The ent dire (Ans: 2.2m) ved What is the unit vector in the direction of the vector A=4i+3j? (41+3 )) (Ans: on a magn object Two particles are located at r, = 3 i+ 7j and r2 =-2i +3j respectively. Find both the magnitude of the vector (r2.r)and its orientation with respect to the x-axis. [Ans: 6.4,219) If a vector B is added to vector A, the result is 6i + j. If B is subtracted from A, the result is -4 i+7 j. What is magnitude of vector A? (Ans: 4.1) ould th 6 Given that A =2 i+3j and B = 3 i-4 j, find the…Q No.3: Two vectors a and b have equal magnitude of 12.7 units. They are oriented as shown in Figure-1.and their vector sum is r. Find (a).the x and y components of r. (b).the magnitude of r, and (c).the angle r makes with the +x axis. Q.No.4. Two vectors of magnitude a and b make an angle 0 with each other when placed tail to tail. Prove by taking components along two perpendicular axis ,that the magnitude of their sum is r= y Va? +b? + ab cos 6 Q.No.5. What minimum force F applied horizontally at an axle of the wheel in Figure-2 is necessary to raise the wheel over an object obstacle of height h? Take r as the radius of the wheel and W is its weight. Q.No.6.One of the uniform beam weighing 52.7 lb and 3.12 ft long is attached to a wall with a hinge. The other end is supported by a wire making an angle of 270 with the beam and wall. (a).Find the tension in the wire. (b).compute the horizontal and vertical components of the force on the hinge. Figure-3 K 1050 270 h a 28.20 270 Figure-2…ce The figure shows two vectors, A and B, with A = 14.6 m, B = 4.58 m, 0 = 33°, and = 38°. Let C= B-2A. Find the magnitude of C. A C=. B 0 Y m I Report your numerical answer below, assuming three significant figures. OL e a 2