On adding two vectors we get _____ a) A vector b) A scalar c) A number d) An operation
Q: Vecor A has a magnitude of 10 units and makes an angle of 30 degrees with the positive x-axis.…
A: Given data :- A→ = 10 units, θ1 = 30° (angle made by A→ with +ve x-axis)B→ = 25 units, θ2 = 50°…
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Q: (b) Find the angle e between A and B. SOLUTION Evaluate the magnitudes of A and B using the…
A: (b) The magnitude of vectors A and B is, A=Ax2+Ay2=32+12=10=3.162B=Bx2+By2=-12+12=2=1.414
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Q: You are adding two vectors, one has a magnitude of 25 and the other has a magnitude of 10. Which of…
A: Given: Magnitude of a→=25. Magnitude of b→=25. To find: The resultant vector.
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Q: Under what condition is | A- B | = A + B? Where A and B are vectors and A and B magnitudes of these…
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Q: 13) While hiking, you travel 5.0 miles south (vector A), then turn and travel 4.0 miles at an angle…
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Q: A displacement vector points in a direction of θ = 25° left of the positive y-axis. The magnitude of…
A: Dx=Dcosθ=135 mcos90°+25°=-57 mi^
Q: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0…
A: Given data: Length of vector A= A points to the north Length of vector B= 2A points to the east The…
On adding two vectors we get _____
a) A vector
b) A scalar
c) A number
d) An operation
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- How would you describe what happens to a vector when you multiply it by a scalar?Vector A has a magnitude of 23.0 m and makes of 30o above the positive x axis. Vector B has a magnitude of 13.0 m and is oriented 60o to the left of the y axis. 1) Find the magnitude of A-B. Express your answer in m. 2) Find the magnitude of 2A+B. Express your answer in m. 3) Find the direction of 2A+B. Express your answer in degrees. 4) Find the magnitude of −A+3B. Express your answer in meters. 5) Find the direction of -A+3B. Express your answer in degrees.The Scalar Product The vectors A andB are given by A = 31 + 1j and B = -1î + 1j. (a) Determine the scalar product A - B. SOLUTION Conceptualize There is no physical system to imagine here. Rather, it is purely a mathematical exercise involving two (vectors Categorize Because we have a definition for the scalar product, we categorize this example as a substitution vy problem. Substitute the specific vector expressions for A and B: A-B = (31 + 1j) - (-1î + 1j) = [3i - (-1)i - [31 - 15 - 13 - (-1) + [1j - 15] The same result is obtained when we use the equation A -B = AB, + A8, + A,B, directly, where A, = 3, A, = 1, B, = -1 and 8, = 1. (b) Find the angle e between A and B. SOLUTION Evaluate the magnitudes of A and B using the Pythagorean theorem: A = VA,? + A, = B = V82 + B 2 = Use the equation A - B = AB cos(e) and the result from part (a) to find the angle (in degrees). cos(e) = AB EXERCISE As a particle moves from the origin to (7i + 5j) m, it is acted upon by a force given by (7î +…
- Consider the 2D vectors A and B. A has a magnitude of 3.5 and a polar angle of 55 degrees, while B has a magnitude of 4.5 and a polar angle of 245 degrees. a) Express A + B in cartesian form. b) Find the magnitude of A + B. c) Find the direction of A + B. d) Express A −B in cartesian form. e) Find the magnitude of A −B. f) Find the direction of A −B. Test 1 Review ProblemsPhysics 30Ad) Express A −B in cartesian form. e) Find the magnitude of A −B.f) Find the direction of A −B.7- Which of the following statement concerning vector and scalar quantities is incorrect? a- All scalar quantities have direction. b- All vector quantities have direction. c- All scalar quantities have magnitude. d- All vector quantities have magnitude.A displacement vector A has scalar components a). What is the magnitude of vector ? (b). What is the angle vector A makes with the positive x-axis measured counterclockwise? (a).8.9m (a). 7.44 m (a). 5.62 m (a). 7.44 m (a).744 m (a). 11.9 m (b). 1870 (b). 1270 (b). 1930 (b). 1930 (b). 12.70 A, = -7.26m A, = -1.64m (b). 1170