1. If the force vector shown below has x, y, and z components of 300 N, 400 N and 800 N, respectively, a. Write it in vector form (10 points). b. Then determine the scalar component of the force in the direction defined by, u= 0.250i+ 0.968j (15 points).
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- Use the definition of scalar product, a b = ab cos 0, and the fact that a b = axbx + ayby + a₂b₂ to calculate the angle between the two vectors given by a = 4.01 + 4.0 + 4.0k and b = 4.01 + 7.0 +6.0k. Number i UnitsThe 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.Pre calculus Vectors
- a) Express ?⃗ in component form. (Recall: Draw ?⃗ with unit vector x, unit vector y, unit vector z at its tail.) Determine the angles ?,?, and ?. Plug into the generic expression for a vector in component form. b) Express ?⃗ in component form. (Recall: Draw ?⃗ with unit vector ?, unit vector y, unit vector z placed at its tail.) Determine the angles ?,?, and ?. Plug into the generic expression for a vector in component form.)Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two vectors A) 146° B) 47.7° C) 70° D) 22.6° O 1. D O 2. B O 3. C O 4. AVector B→B→ has magnitude 7.30 and direction 14.0° below the +x-axis. Vector C→C→ has x-component Cx = −2.00 and y-component Cy = −6.70. a. What is the x-component of B→B→ ? b.What is the y-component of B→B→ ? c. What is the magnitude of C→C→ ? d. What angle does C→C→ make with the +x-axis in counterclockwise direction? A positive angle is counterclockwise from the +x-axis anwer in degrees e. What is the magnitude of C→+B→C→+B→ ? f. What angle does the resultant vector C→+B→C→+B→ make with the +x-axis in clockwise direction? A positive angle is counterclockwise from the +x-axis. asnwer in degrees g. What is the magnitude of C→−B→C→-B→ ? h. What angle does the vector C→−B→C→-B→ make with the +x-axis in counterclockwise direction? A positive angle is counterclockwise from the +x-axis. asnwer in degrees i. What is the x-component of C→−B→C→-B→ ? j.What is the y-component of C→−B→C→-B→ ?
- 1.Perform the following vector arithmetic. A=3ˆı+5ˆȷ+7kˆ B= ˆȷ−kˆ C=3ˆı−5kˆ (a) ∣A+B×C∣ (b) C⋅(B×A) (c) Construct a unit vector dˆ that is perpendicular to both A and C.C pleaseAssume you have the following two vectors:A:15i+16j+13k B=4.4i+6.5j-1.6k What is the x-component of the vector V = A × B? What is the y-component of the vector V = A × B? What is the z-component of the vector V = A × B? What is the magnitude of the vector V = A × B?
- Evaluate each of the following. Assume î, ĵ, k are the unit vectors aligne with the x, y, and z axes, respectively. a. î j = d. (4î – j) · (3î + 5j – 10k) = b. k - k= c. k- î=M Hello, i need help understanding how do you find the sin and cosine of E1 x and y along with E2 x and y. This problem is complete that im showing here please explain with this problem how you got the sin and cosine to start the problem for vector addition!!!2022, before 4: 06pm. Submit all assignments in my Assignment Box in the Division office. Question 1 oone Find the scalar and vector products of two vectors, (3î – 4j + 5k) and b = a = (2î + j - 3k). Question 2 Use the geometric definition of the cross product and the properties of the cross product to calculate the following: a) (k +j) × (k - i) b) (î + j) × î) × ĵ) c) (4î × (î + ĵ) Question 3 The following external forces are acting on a body: F1 = (10, 2,1)N at point P (4,0,0)cm , %3D F2 = (0,0,5)N at point P2 (1,-3,0)cm and