1 Define scalar and vector. List few scalars and vectors quantities. 2 How do you represent a vector graphically? 3 Two or more vectors can be added graphically. Explain the rule for the graphical addition of two vectors (vectors A & B). Give one graphic illustration. 4 Explain the components of vector. If the magnitude A and direction 0 of a two-D vector A are given, how do you calculate the components? Give one sample. 5 Four forces, A, B, C, and G, act on a particle leaving it in equilibrium. Given: A = 130 g @ 37 B = 105 g @ 143 C = 55 g @ 90 Determine G by the vector algebraic method for A + B + C + G =06 Find G by the graphical method using a scale and a protractor to graph on a paper. Use a scale factor of Icm = 10 g. Draw arrow heads on vector ends. Please show your graph. Result: Length in cm: G = g @ Graphical Method to Find Gl {a} Calculate the Equilibrant E by the 1sector algebraic method for A. + B + E = ll {b} Compare the force table and calculated values of E, 1what is the % error between the magnitudes? 2 Why must the graphical solution of'the force required to produce equilibrium form a closed polygon? 3 Consider the three vectors a, b1 and e such that i: = a + b. Let us choose the xdirection in the same direction as vector :1. Let us designate the angle between b and the x-direction as E! so that bx = b'cosEI and by = b'sin. a. What are the algebraic expressions for Bx and cs? b. Use the Pythagorean theorem, c2 = cf + cf to shotsr that c2 = a2 + b2 + 2 -a-b-cosl:}. 4 List f'ea.r reallife examples of Itrecturs and sum of vectors. Please give physics explanations