7. [0/2 Points] DETAILS PREVIOUS ANSWERS SERPSE9 3.P.035.MI. Vector A has a negative x component 2.58 units in length and a positive y component 2.12 units in length. (a) Determine an expression for A in unit-vector notation. x i + x j) units (b) Determine the magnitude and direction of A. magnitude x unit(s) direction . counterclockwise from the positive x axis (c) What vector B when added to vector A, gives a resultant vector with no x component and a negative y component 3.42 units in length? x i+ l x j) units Need Help? Master It Additional Materials eBook 8. [0/2 Points] DETAILS PREVIOUS ANSWERS SERPSE9 3.P.059. Two vectors A and B have precisely equal magnitudes. In order for the magnitude of A + B to be 90 times larger than the magnitude of A - B, what must be the angle between them? X Your response differs significantly from the correct answer, Rework your solution from the beginning and check each step carefully."2. [0/2 Points] DETAILS PREVIOUS ANSWERS SERPSE9 3.P.040. MY NOTES ASK YOUR TEACHER PRACTICE A The figure below illustrates typical proportions of male (m) and female (f) anatomies. The displacements dim and dif from the soles of the feet to the navel have magnitudes of 105 cm and 81.0 cm, respectively. The displacements dam and day from the navel to outstretched fingertips have magnitudes of 98 cm and 85.5, respectively. Find the vector sum of these displacements dy = dj + d2 for both people. for the male magnitude * cm direction x . above the +x axis (first quadrant) for the female magnitude x cm direction x . above the +x axis (first quadrant) 23.0 def 28.0 dim9. [0/2 Points] DETAILS PREVIOUS ANSWERS SERPSE9 3.P.062. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER After a ball rolls off the edge of a horizontal table at time & = 0, its velocity as a function of time is given by V = 1.6 i - 9.8t j- where v is in meters per second and t is in seconds. The ball's displacement away from the edge of the table, during the time interval of 0.480 s for which the ball is in flight, is given by AT = 0.480 To perform the integral, you can use the calculus theorem [4 + BRx)] dx = / Adx + B/ Rx) dx. You can think of the units and unit vectors as constants, represented by A and B. Perform the integration to calculate the displacement of the ball from the edge of the table at 0.480 s. AT = m Additional Materials CeBook 10. [0.5/2 Points] DETAILS PREVIOUS ANSWERS SERPSE9 3.P.063.WI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The instantaneous position of an object is specified by its position vector leading from a fixed origin to the location of the object modeled as a particle. Suppose for a certain object the position vector is a function of time, given by r = 2 i + 4 j - 2t k, where i' is in meters and t is in seconds. (a) Evaluate of/dr. (2 The x component is independent of time. i + 4 X The y component is independent of time. j + 2 What effect does the minus sign have in the z component? k) m/s