(3.3 m )î + (3.6 m )ĵ and b = (- 11.0 m )i+(6,9m (a) In unit-vector notation, what is the sum of a What (b) the magnitude and (c) the direction of a + b (relative to i)? (a) Number i i i Units (b) Number i Units (c) Number i Units

Physics

1. = (OP), = The vector OP shown in the figure has a length of 12.0 cm. Two sets of perpendicular axes, x-y and x'-y', are shown. Express OP in terms of its x and y components in each set of axes. (a) Calculate the projections of OP along the x and y directions. Enter to 2 significant figures ✔cm Enter to 2 significant figures OP= cm ✔ cm Enter to 2 significant figures OP = 30° (b) Calculate the projections of OP along the x' and y' directions. Enter to 2 significant figures (OP)x= (OP) y¹ = ✔ cm 30⁰ ✔cm X' X (c) Use the projections of OP along the x and y directions to calculate the magnitude of OP using OP=√(OP)²+(OP)². ✔cm (d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP using OP=√(OP)²+(OP)². (e) What can you conclude about the magnitude of a vector with respect to rotated coordinate axes? The magnitude of the vectors using components in different coordinate axes that are rotated with respect to each other change.

The x and y components of a vector A of magnitude A 4m shown in the figure below are: 30 Ax= -2m; Ay= - 3.46m Ax= -1.5m; Ay=-2.598m Ax= -1.73m; Ay= 1.73m Ax= -3m, Ay= - 2.73m Ax=-1m; Ay=-1.73m

A 4.9 kg object initially has a momentum of 208 kgm/s. The object then experiences an impulse of -199 kgm/sWhat was the object's initial velocity in the x direction ? ________m/sWhat was the object's final momentum after experiencing the impulse?__________ kgm/sWhat was the object's Final velocity in the x direction ? _________m/s

Given vector A=2i-3j and vector B = 2i -4j. If vector C = A -2*B then C equals ..

Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.

Part II. Significant Figures The significant figures in a number are all figures that are obtained from the measuring process and exclude those zeros that are included solely for the purpose of locating the decimal point. This definition will be clarified with a number of examples. Number 123 12.3 2016 2.016 2.016 X 10³ 2.01 X 10¹ 2.0 X 10³ 2 X 10³ 10³ 410 410. 4.1 X 10² 4.10 X 10² 41.0 .00159 1.59 X 10 3 0.2 Significant Figures Comments

Question 4: Vectors A and B represent displacements in meter in unit vector notations: A = 3i - 4j and B = 4i - j a) Find R= -4A+5B? b) Find the magnitude of R ?

Two non-zero vectors A and B both lie in the xy-plane. The only thing that you know about these vectors is that vector sum (A+B) points exactly in the Ĵ direction (the +y direction). What can you say for certain about the components of these vectors? (Hint: draw a vector diagram) A) Ax = Bx B) Ax = - -Bx C) Ay = - By D) Ax = By Ay = - Bx ○ A О B O ○ U D OE