For Exercises 105-106, two vectors v and w act on a point in the plane with the indicated force. a. Use a parallelogram to sketch the resultant vector v + w , b. Use the law of cosines to find the magnitude of the resultant vector. [Hint: Adjacent angles in a parallelogram are supplementary.) c. Use the law of sines to find the angle that v + w a makes with v. Round answers to the nearest whole unit.
For Exercises 105-106, two vectors v and w act on a point in the plane with the indicated force. a. Use a parallelogram to sketch the resultant vector v + w , b. Use the law of cosines to find the magnitude of the resultant vector. [Hint: Adjacent angles in a parallelogram are supplementary.) c. Use the law of sines to find the angle that v + w a makes with v. Round answers to the nearest whole unit.
Solution Summary: The author illustrates how to graph the resultant vector v+w using a parallelogram with reference to the figure.
For Exercises 105-106, two vectors v and w act on a point in the plane with the indicated force.
a. Use a parallelogram to sketch the resultant vector
v
+
w
,
b. Use the law of cosines to find the magnitude of the resultant vector. [Hint: Adjacent angles in a parallelogram are supplementary.)
c. Use the law of sines to find the angle that
v
+
w
a
makes with v.
Round answers to the nearest whole unit.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
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