Question 1.29 : For the vectors A and B in Fig. E1.22, use the method of components to find the magnitude and direction of (a) the vector sum vec A + vec B (b) the vector sum by vec B + vec A ; (c) the vector difference vec A - vec B (d) the vector difference vec B - vec A 1 . vec B 1.7 Vectors and Vector AdditionA postal employee drives a delivery truck along the routeFig. E1.21. Determine the magnitude and direction of theisplacement by drawing a scale diagram. (See also Exercisedifferent approach.)21RT4.0 kmvectors A and Be a scale drawingude and directionmA + B and (b)ce A - B. Used the magnitude- A - B ando Exercise 1.29ch.)r is surveyinga passage 180210 m in a di-th, and thenorth. After a3.1 km TopSTOP45°C (12.0 m)NW-ESomo (11Figure E1.2225.0°Ď (10.0 m)Jadbadydo adi molB (15.0 m)19rate odio53.0030.0° 1.10ICAA 11190A (8.00 m)he finds her-ted. Use a scale drawing to determine the mag-he fourth displacement. (See also Problem 1.57Os of Vectorsngle that the vector A makes with the +x-ockwise from that axis Find angle A for a1.29-compeA+L(d) th1.30the(b)1.32.tiaF 1.26 Vector A is in the direction 34.0° clockwise from the -y-axis.The x-component of A is Ax = -16.0 m. (a) What is the y-componentof A? (b) What is the magnitude of A?1.27 Vector A has y-component Ay = +9.60 m. A makes an angle of32.0° counterclockwise from the +y-axis. (a) What is the x-componentof A? (b) What is the magnitude of A?1.28 A postal employee drives a delivery truck over the routeshown in Fig. E1.21. Use the method of components to determine themagnitude and direction of her resultant displacement. In a vector-addition diagram (roughly to scale), show that the resultant displace-ment found from your diagram is in qualitative agreement with theresult you obtained by using the method of components.1.29 For the vectors A and B in Fig. E1.22, use the method ofcomponents to find the magnitude and direction of (a) the vector sumA + B; (b) the vector sum B + A; (c) the vector difference A - B;(d) the vector difference B - A.1.30 Find the magnitude and direction of the vector represented bythe following pairs of components: (a) Ax = -8.60 cm, Ay= 5.20 cm;(b) Ax = -9.70 m, A, = -2.45 m; (c) Ax = 7.75 km, Ay = -2.70 km.1.31 A disoriented physics professor drives 3.25 km north, then2.20 km west, and then 150 km south. Find the magnitude and direc-tion of the resultant displacement, using the method of components. Ina vector-addition diagram (roughly to scale), show that the resultant dis-placement found from your diagram is in qualitative agreement with theresult you obtained by using the method of components.1.32Vector A has magnitude 8.00 m and is in the xy-plane at anangle of 127° counterclockwise from the +x-axis (37° past the +y-axis).What are the magnitude and direction of vector B if the sum A + B isin the -y-direction and has magnitude 12.0 m?1.33 Vector A is 2.80 cm long and is 60.0° above the x-axis in thefirst quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis inthe fourth quadrant (Fig. E1.33). Use components to find the magnitudeand direction of (a) A + B; (b) A - B; (c) B - A. In each case, sketchthe vector addition or subtraction and show that your numerical answerssketch.are in qualitative agreement withyour1.37 Cin Fig. Evectors îtors to eC = 3.00magnitud1.38-torsAB = 7.00terclock(a) What+x-axisis the suthe +x-a1.39.B = 3.0(b) useA - Bthis theSection1.40Exerci1.41ucts (a1.42the tvvecto1.43(a) A(b) F(c) r1.44recti1.45and

Question

Question 1.29 : For the vectors  A and B in Fig. E1.22, use the method of components to find the magnitude and  direction of (a) the vector sum vec A + vec B (b) the vector sum by vec B + vec A ; (c) the vector difference vec A - vec B (d) the vector difference vec B - vec A 1 . vec B 1.7 Vectors and Vector AdditionA postal employee drives a delivery truck along the routeFig. E1.21. Determine the magnitude and direction of theisplacement by drawing a scale diagram. (See also Exercisedifferent approach.)21RT4.0 kmvectors A and Be a scale drawingude and directionmA + B and (b)ce A - B. Used the magnitude- A - B ando Exercise 1.29ch.)r is surveyinga passage 180210 m in a di-th, and thenorth. After a3.1 km TopSTOP45°C (12.0 m)NW-ESomo (11Figure E1.2225.0°Ď (10.0 m)Jadbadydo adi molB (15.0 m)19rate odio53.0030.0° 1.10ICAA 11190A (8.00 m)he finds her-ted. Use a scale drawing to determine the mag-he fourth displacement. (See also Problem 1.57Os of Vectorsngle that the vector A makes with the +x-ockwise from that axis Find angle A for a1.29-compeA+L(d) th1.30the(b)1.32.tiaF 1.26 Vector A is in the direction 34.0° clockwise from the -y-axis.The x-component of A is Ax = -16.0 m. (a) What is the y-componentof A? (b) What is the magnitude of A?1.27 Vector A has y-component Ay = +9.60 m. A makes an angle of32.0° counterclockwise from the +y-axis. (a) What is the x-componentof A? (b) What is the magnitude of A?1.28 A postal employee drives a delivery truck over the routeshown in Fig. E1.21. Use the method of components to determine themagnitude and direction of her resultant displacement. In a vector-addition diagram (roughly to scale), show that the resultant displace-ment found from your diagram is in qualitative agreement with theresult you obtained by using the method of components.1.29 For the vectors A and B in Fig. E1.22, use the method ofcomponents to find the magnitude and direction of (a) the vector sumA + B; (b) the vector sum B + A; (c) the vector difference A - B;(d) the vector difference B - A.1.30 Find the magnitude and direction of the vector represented bythe following pairs of components: (a) Ax = -8.60 cm, Ay= 5.20 cm;(b) Ax = -9.70 m, A, = -2.45 m; (c) Ax = 7.75 km, Ay = -2.70 km.1.31 A disoriented physics professor drives 3.25 km north, then2.20 km west, and then 150 km south. Find the magnitude and direc-tion of the resultant displacement, using the method of components. Ina vector-addition diagram (roughly to scale), show that the resultant dis-placement found from your diagram is in qualitative agreement with theresult you obtained by using the method of components.1.32Vector A has magnitude 8.00 m and is in the xy-plane at anangle of 127° counterclockwise from the +x-axis (37° past the +y-axis).What are the magnitude and direction of vector B if the sum A + B isin the -y-direction and has magnitude 12.0 m?1.33 Vector A is 2.80 cm long and is 60.0° above the x-axis in thefirst quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis inthe fourth quadrant (Fig. E1.33). Use components to find the magnitudeand direction of (a) A + B; (b) A - B; (c) B - A. In each case, sketchthe vector addition or subtraction and show that your numerical answerssketch.are in qualitative agreement withyour1.37 Cin Fig. Evectors îtors to eC = 3.00magnitud1.38-torsAB = 7.00terclock(a) What+x-axisis the suthe +x-a1.39.B = 3.0(b) useA - Bthis theSection1.40Exerci1.41ucts (a1.42the tvvecto1.43(a) A(b) F(c) r1.44recti1.45and

Accepted Answer

Given:- 1.29:-
We know that figure E 1.22 we get as

Find:- for the vector A and B 
a) The…

ethod of components. using 1.29 For the vectors A and B in Fig. E1.22, use the method of components to find the magnitude and direction of (a) the vector sum A + B; (b) the vector sum B + A; (c) the vector difference A - B; (d) the vector difference B - A.