1302_HA6

1302_HA6 - , 2 (-. 7. Obtain the vector parametric equation...

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EGR 1302 Homework Assignment #6 1. Find the distance between the pairs of points whose coordinates are: ) 10 , 9 , 8 ( ) 3 , 2 , 1 ( and ) 1 , 1 , 1 ( ) 2 , 0 , 2 ( - - - - and ) 2 , 5 , 4 ( ) 3 , 1 , 3 ( - - - and 2. Find b a n n 3 2 - when ) 1 , 1 , 1 ( and ) 3 , 2 , 1 ( - - - = = b a n n ) 3 , 2 , 1 ( and ) 3 , 1 , 3 ( - - = - = b a n n 3. Find the position vector a r R n n n + = 2 , where r n is a position vector ) 2 , 3 , 1 ( and ) 2 , 1 , 1 ( - - = a n . 4. Find the Cartesian equation of the line joined by points ) 1 , 2 , 1 ( : - A and ) 2 , 3 , 3 ( : - B . Also find the Cartesian equation of the line joined by points ) 1 , 2 , 1 ( : - A and ) 1 , 0 , 3 ( : - C . What can you deduce about these two lines? 5. Find the vector parametric equation of the line that passes through point ) 1 , 4 , 2 ( - , and is parallel to a line that joins points ) 4 , 3 , 2 ( - - - and ) 1 , 2 , 3 ( . 6. Find the Cartesian equation of the plane that passes through these three points: ) 1 , 0 , 1 ( , ) 1 , 2 , 1 ( - , ) 2 , 2
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Unformatted text preview: , 2 (-. 7. Obtain the vector parametric equation of the line that is parallel to k j i s 2 +-= and passes through a point with the position vector of k j i + + . Find the point of intersection of this line with the plane 2 2-= +-z y x . 8. Find unit vectors in the same direction as: ) 4 , 3 ( = a n k j i b 2 2 +-= ) 12 , 5 (-= c n 9. Express in Basis Vector Form, the vector which has its initial point and terminal point defined by position vectors k j i 2 -+ and k j i 5 3 2 + +-. Find the length of this vector....
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