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Use the component method to add the vectors A vector and B vector shown in the f

ID: 1899306 • Letter: U

Question

Use the component method to add the vectors A vector and B vector shown in the figure. The length of B vector is 3.45 m and the angle theta = 33.0 degree. Express A vector + B vector = in unit-vector notation. A vector + B vector = Consider the two vectors A vector = ihat - 3 jhat and B vector = - ihat - 6 jhat. Calculate A vector + B vector ihat + jhat Calculate A vector - B vector ihat + jhat Calculate |A vector + B vector| Calculate |A vector - B vector| Calculate the directions of A vector + B vector and A vector - B vector. A vector + B vector degree (counterclockwise from the +x axis) A vector - B vector degree (counterclockwise from the +x axis) Consider the two vectors A vector = ihat - 3 jhat = and B vector = -ihat - 6 j. Calculate A vector + B vector ihat + jhat Calculate A vector - B vector ihat + jhat Calculate |A vector + B vector| Calculate |A vector - B vector| Calculate the directions of A vector + B vector and A vector - B vector. A vector + B vector degree (counterclockwise from the +x axis) A vector - B vector degree (counterclockwise from the +x axis) Consider the region of the x-y plane between the line y = 5, the curve y = 4 sin(x) + 1, and for -pi / 2 x 5pi / 2. Find the volume of the solid generated by revolving this region about the line y = 5. Volume =

Explanation / Answer

a)A+B=i-3j-i-6j=-9j

b)A-B=i-3j+i+6j=2i+3j

c)|A+B|=9

d)|A-B|=sqrt(22+32)=3.61

e)A+B= 0 degree with +x axis.

A-B makes tan-13/2=56.3 degrees with the positive x axis.