Tutorial ExerciseConsider the two vectors A = 2 1 - 2 ĵ and B - î - 5 ĵ.-(a) Calculate A + B(b) Calculate A - B(c) Calculate A + B(d) Calculate A - B(e) Calculate the directions of A + B and A - B.Step 1You can draw the vectors A and B on graph paper in the x-y plane. The vector A is drawn from the origin to the point (2,-2), and the vector B is drawn from the origin to thepoint (-1,-5).Step 2We perform operations on vectors in unit-vector form by performing the operations on the coefficients of the unit vectors î and ĵ. Part (a) asks for the addition of two vectors.Part (b) asks for the difference of two vectors, and parts (c) and (d) ask for the magnitudes of the two resulting vectors from parts (a) and (b). Part (e) asks for the directions ofthe two vectors from parts (a) and (b).Step 3(a) Use the property of vector addition that states that the components of R=A + B are computed as Rx = Ax + Bx and R₁ = Ay + By.A+B= (21+_ĵ) + (=Î +Ĵî+

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Answered: Consider the two vectors A = 2 1 - 2 ĵ…

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Consider the two vectors A = 2 1 - 2 ĵ and B = - î - 5₁. (a) Calculate A + B (b) Calculate A - B A+B (c) Calculate

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 65PQ

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Scalars and Vectors

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Question

Tutorial Exercise
Consider the two vectors A = 2 1 - 2 ĵ and B - î - 5 ĵ.
-
(a) Calculate A + B
(b) Calculate A - B
(c) Calculate A + B
(d) Calculate A - B
(e) Calculate the directions of A + B and A - B.
Step 1
You can draw the vectors A and B on graph paper in the x-y plane. The vector A is drawn from the origin to the point (2,-2), and the vector B is drawn from the origin to the
point (-1,-5).
Step 2
We perform operations on vectors in unit-vector form by performing the operations on the coefficients of the unit vectors î and ĵ. Part (a) asks for the addition of two vectors.
Part (b) asks for the difference of two vectors, and parts (c) and (d) ask for the magnitudes of the two resulting vectors from parts (a) and (b). Part (e) asks for the directions of
the two vectors from parts (a) and (b).
Step 3
(a) Use the property of vector addition that states that the components of R
=
A + B are computed as Rx = Ax + Bx and R₁ = Ay + By.
A+B= (21+
_ĵ) + (
=
Î +
Ĵ
î+

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