Some problems will ask you to enter an answer that is a poin

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, , 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, 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, and [1-(-3))i + [2-sqrt(4)]j + (6/2)k both represent the vector (4, 0, 3), while + 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:

Solution

1) point halfway between ( 1,-3) and (5,1) is

(1+5)/2 , (-3+1)/2)

= (3 , -1 )

2) (5 , -5 , -3 )

vector is 5i - 5j - 3k

3) ( -2 , -4 , 3 )

representing as sum of two vectors

< -4,2, 0 > + < 2 ,-6 , 3 >

3)