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Let i =< 6,2 > and w =< 4, -8 >. Compute i · w.

Let i =< 6,2 > and w =< 4, -8 >. Compute i · w.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 1AEXP
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Let v =< 6,2 > and w =< 4, -8 >. Compute i · w. Use the geometric definition of the dot product and your result from part a to determine 0, the angle between v and w. Round your answer to one decimal place. Suppose w (from the prompt) is a force applied to an object and resulted in a displacement vector of -27. How much work was done on the object by this force? Assume force is in Newtons and displacement is in meters.
Transcribed Image Text:Let v =< 6,2 > and w =< 4, -8 >. Compute i · w. Use the geometric definition of the dot product and your result from part a to determine 0, the angle between v and w. Round your answer to one decimal place. Suppose w (from the prompt) is a force applied to an object and resulted in a displacement vector of -27. How much work was done on the object by this force? Assume force is in Newtons and displacement is in meters.
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