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- 25. Consider vector F as shown below. What is the z- component of F? C. Fsin 0 cos o A. F cos e B. F sin 8 sin o D. F sin 8You found a treasure map and it said Start at the well, go 100m straght south, then 30 m 40 degrees north of west, then 25 m straight east, and finaly 45 m. 75 degrees south of the east. If the given dsplacements are named as A B C. and D respectively. What is the sum of y-components? A. -162.75m B. -124.19m C. 162.75m D. 124.30mConsider the array of vectors in the figure below. +y B. A I. K H N 1. À + B + Č + D + Ē + F + Ġ +Ĥ = Ï? A. TRUE. B. FALSE. %3D 2. Vector F has scalar x component equal to zero? A. TRUE. B. FALSE. 3. Ñ - F = L ? B. FALSE. A. TRUE. 4. D| = -|| A. TRUE. B. FALSE. 5. |Ħ - R| = |J| ? B. FALSE. A. TRUE. %3D 6. The vector H + G has a negative x component and a positive y component? A. TRUE. B. FALSE. 7. C|-|0|=-| B| ? B. FALSE. A. TRUE. 1E 10 1M 10
- What is the angle between vectors A and B if A = 2i + 2j - k and B = 5i -3j + 2k? a. 84° b. 57° c. 87° d. 56°If A - B = 0 and Ã × B = 0 what can we say about Aand B? Select one: a. None of the other options O b. Ā is proportional to B O c. Ä is perpendicular to B O d. Ā is parallel to B O e. A is opposite to BThe grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗ F. In ordered pair notation, write down the components of vector D G.What is true about B⃗ and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.
- 7.A Jogger runs along a circular track of radius R = 100.0 m. She starts at A and jogs three-fourths of the circular track, un to B She then turns back and jogs one-half of the circular track, up to C. (Note that the dashed line is only a guide for the eye - showing that B, the center of the circle, and C are collinear). A. What is the distance she traveled? B. Draw her displacement vector. C. What is the magnitude of her displacement? C R. A 3. B 66Moving 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.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
- If A · B = 0 and A x B = 0 what can we say about Aand B? Select one: а. None of the other options b. A is perpendicular to B c. A is proportional to B d. A is opposite to B e. A is parallel to B1. Considering a unit vector u4 = A / A, which of the following are properties of u,? (circle all correct responses) a. u, has the same units as A b. ил1 c. u, points in the same direction as A d. uA < A e. u, is unitless 2. Considering two force vectors F1 = Fii+ Fj+ F1,k and F2 = F2i+ Fj + F2,k with their unit vectors ui = F1 / F; = (u1x) i+ (u1) j+ (u12) k and uz = F2 /F2= (u2) i+ (uz) j+(uz:), which of the following are valid calculations for the resultant force FR=F1+ F;? (circle all correct responses) a. FR = (Fix+ F2)i+(Fiy+ F2) j+(Fiz+ F2) k b. FR = (F1 + F:) [(uix+ u2x)i+(uiy + u2) j+ (uiz + u2) k] c. FR = (F? + F?)0S [(u!x+ u2) i+ (uiy + uz) j+ (uiz + u2:) k] d. FR = (F1uix+ Fru2x)i+ (F1u1y+Fruz»)j+(F1u1:+ F2uz)k %3D 3. Consider two vectors A and B with unit vectors u4 = A/ A and ug = B / B and angle between A and B is 0. Which of the following are correct with regard to dot products? (circle all correct responses) a. A-B is a scalar b. A·B is a vector c. If A and B are…3. Vector 2 (V2) in the illustration below has its initial point at ? and its terminal point at ?. V₁₂ 1 Oa. -1, 1/-4, 2 Ob. 1, 1/4, 2 Oc. 1, 1/2, 4 Od. -1, 1/2, -4 V₂ 2 091 *08