V₂ = 12 units 60° y V₁ = 10 units PROBLEM 1/2 3 - X M 1 SS For the given vectors V₁ and V₂ of Prob. 1/2, de- termine the magnitude of the vector difference V' =V₂ - V₁ and the angle ex which V' makes with the positive x-axis. Complete both graphical and algebraic solutions.

There are two vectors. Vector A=125x-160y and vector B=-220x+135y(in meters) Find the magnitude and angle (with respect to the positive x axis) of the vector C=A-2B

Q7. Vector B is 5 cm long and vector Å is 4 cm long. Find the angle between these two vectors when Jä+#|-|ä-B| =3.

3. V is a vector 30m in magnitude and points at an angle of 23.4° above the negative x axis. V2 is a vector 50m in magnitude and points 49° below the -x axis. V; is a vector 85m in magnitude and points 50° below the +x axis. Calculate Vx and Vy and Use Vx and Vy to obtain the magnitude and direction of the resultant vector.

Question 7 2 Points The magnitude of resultant vector is equal to the sum of magnitude of all vectors. (A) True B) False Question 8 2 Points The component method smore accurate than the graphical method in finding the resultant. (A) True (B) False Question 9 2 Points Two vectors are said to be equal if they have the same magnitude. (A) True B) False

Vector A measures 1.20m and angles 30° above the x-axis in the first quadrant. Vector B extends 3.20m and is angled 30° beneath the x-axis in the fourth quadrant. a. Determine the magnitude and direction of A + Bb. Determine the magnitude and direction of A – B

Solve this problem using the component method & polygon method. Note: resultant vector should be expressed using a magnitude and a direction. Find the resultant of the following vectors: A = 200 g at zero degrees B = 100 g at 70 degrees C = 100 g at 135 degrees

Each of the following vectors is given in terms of its x- and y-components. Find the magnitude of vector à and the angle it makes with respect to the positive x-axis, measured counterclockwise, when Ax = 4.00 and Ay = -4.00. A = Find the magnitude of vector B and the angle 0 it makes with respect to the positive x-axis, measured counterclockwise, when Bx = -3.00 and By = 3.00. B = 0A = C = ов = Find the magnitude of vector and the angle 0c it makes with respect to the positive x-axis, measured counterclockwise, when Cx = 0.00 and Cy = -2.00. 0c =

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Consider two vectors A and B. À = 11 + 13Ĵ and B = 14î - 16) Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form 1 √ (U‚Î + U‚}) N = = U₁ =