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Mathematics, 19.12.2019 23:31 anthonysf

Some problems will ask you to enter an answer that is a point rather than a number. you enter points in webwork just as you would expect: by separating the coordinates by commas and enclosing them all in parentheses. so (2,-3) represents the point in the plane that has an x-coordinate of 2 and y-coordinate of -3. what point is halfway between (1, -3)and (5, 1)? other problems require you to provide a vector as your answer. webwork allows you to enter vectors either as a list of coordinates enclosed in angle braces, < and > , or as a sum of multiples of the coordinate unit vectors, i, j and k, which you enter as i, j and k. for example, < 1, 3, -2 > represents the same vector as i+3j-2k. what vector points from the origin to the point (5,-5, -3)? just as you can enter a number by giving an equation that reduces to it, webwork allows you to enter points and vectors by giving equations for the individual coordinates, or by using a vector-valued equation that reduces to your answer. for example, < ) ,2- squareroot (4),6/2 > and ))i + [2-sqrt(4)]j + (6/2)k both represent the vector (4, 0, 3), while < 1, 0, -1 > + < 2, -2, 3 > could be used to answer a question that asks for the vector (3, -2, 2). write (-2, -4, 3) as a sum of two vectors:

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