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Vector v = <-4,4>. Vector w = <-2,-1>. If vector v+w+s = <-5,0>, what is the value of vector s?
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- Vectors A and B are two orthogonal vectors in the xy -plane and they have identical magnitudes. If A=3.0 i+4.0 j , find B .Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
- Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?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°3. Given the following vectors: A = 2î + 5}; B = 6î – 2;; and C = 10î + 3f. Find the resultant vector R. 4. Find the sum of these four vectors: A = 3j, B = –-5î, C = 2j, and D = -3î + 1f. 5. Given two vectors: A = 5î + 8ĵ and B = -9î + 2j. Find the resultant vector. %3D
- Suppose that u and v are vectors in R'. Decide whether each statement is always true or not always true. Be sure you can explain why your answers are correct! + 1. ủ · ở = ở · ủ 2. ů xi = -(3 xủ) ? 3. (-ū) × (-i) = -u x i) 4) 4. (-i) = -α . b)Two vectors A = 1î - 2j and B = 2î + 3ī. Find the approximate angle between the vectors (-3A) and (2B)? A. None O B. 30° C. 120° D. 75 Е. 60°1,076 :6: F1 If a vector A has components Ax>0, and Ay<0, then the angle that this vector makes with the positive X-axis must be in the range O a. 0° to 90°. 148,433 @ 2 W S b.90° to 180°. O c. 180° to 270°. mand O d.270° to 360°. O e. cannot be determined without additional information X -8° F2 - # 3 E D 31 21 80 F3 C $ 4 R F a F4 % 5 tv e F5 T G 6 V B Ad !! c F6 Y H (2982 & 7 F7 U N 8 J DII F8 1 M WA 9 K F9 O A ) O A F10 L P command | ' F11 1 { C optio
- Describe two vectors and such that Have you considered all possibilities? (a) a + b = and a + b = c; Hint and and 07=0. □ ā=0. are perpendicular. are in the same direction. Pretend these are not vectors and solve. (b) a + b = à-b; 07=0. a and and O = 0. are in the same direction. are perpendicular.Two vectors A = 1î - 2j and B = 2î + 37. %3D Find the approximate angle between the vectors (-3A) and (2B)? A. None В. 30° ос. 120° O D. 75° Е. 60°A = 3i + 4j - 5k and B = -2j + k. a) | 2A - B | b) Vectors A and BWhat is the angle between?
