5. A particle moves along a space curve C with a vector is given by 7(t) = 3 cos 2t ê, +3 sin 2t ê2 + (8t – 4)êz a. Find a unit tangent vector î to the curve C. b. Show that i = vî %3D

Consider three vectors: What is the result of 2A. (B-3C)? What is the result of A A+B B + C. C? . A.A+B B+C . C = || A = (9.71) î+ (1.12) Ĵ B = (7.28) + (5.54); C = (-2.95) + (-14.7);

What is the angel a vector A =2i - 2j makes with the +x axis? O A. 135° O B. 225° O C. 45° O D. 315°

a. The two parallel lines (1, m) drawn below ate intersected by a third line. If angle 1 is 20 degrees, what are the values of the other angles 2, 3, 4, 5, 6, 7? 4 7/2 5 6 b. Given the geometry shown below, what is the value of the angle a? α 35° 00

46. ECHALK The three displacement vectors in the drawing have mag- nitudes of A = 5.00 m, B = 5.00 m, and C= 4.00 m. Find the resultant (magnitude and directional angle) of the three vectors by means of the com- ponent method. Express the directional angle as an angle above the positive or negative x axis. PROBLEM 46 Ä 20.0° C B 60.0⁰ +1

1. Given the vectors M = -10āx + 4ã, – 8ả, and Ñ = 8å, + 7ã, – 2ã,, find: a. A unit vector in the direction of -M + 2Ñ b. The magnitude of 5å, + N – 3M c. M||2Ñ|(M + N)

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!!!

Vector A = 2 +33 and vector B = 51-43 +3k. Part A What is the cross product Ax B? Find the -component. Express your answer as integer ► View Available Hint(s) A × B]x = Submit Part B IVE ΑΣΦ α B Y V Ax By = A Submit T P Σ Previous Answers Φ Ψ Ω Find the y-component. Express your answer as integer ▸ View Available Hint(s) € n 6 T φ - ΑΣΦ ħ 0 χ E • * Incorrect; Try Again: 5 attempts remaining A component of a cross product does not equal the product of the respective vector components. You may need to review The Vector Cross Product. You may want to review Hint 1. How to approach the problem. K y @ 2 μ ? ?

Given the vectors and w W +(0,0) a) Sketch the vector 3w 6 5 4 3 V 29 ~20 W ننا -2 -3. -4 -5 -6. Clear All Draw: c) Sketch u-u using the Triangle Rule, then sketch the equivalent position vector 6 W 5 43 v2 -6-5-4-3-2-1₁. 1 2 3 4 5 6-6-5 -4 -3 -2 -1₂- -2- -3- -4- -5 -6- Clear All Draw: my s -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 1 2 3 4 5 6 b) Sketch + using the Triangle Rule Ú Clear All Draw: 29 V W 3654 3- بنا يا بلے 1 2 3 4 5 6

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