Homework SourseLet P be a point on the line through two vectors u and v Let
Let P be a point on the line through two vectors u and v. Let s and t be real numbers.
P=su+tv
1. Then the point lies on the line through u and v if s=?(An expression of t).
2.In order for P to be on the line segment connecting u and v, t must lie in the interval [a,b] where a=? and b=?
Please help me answer the questions with the question marks above. Thanks.
P=su+tv
1. Then the point lies on the line through u and v if s=?(An expression of t).
2.In order for P to be on the line segment connecting u and v, t must lie in the interval [a,b] where a=? and b=?
Please help me answer the questions with the question marks above. Thanks.
Solution
1. line through u and v , u + (u-v)k, k be any scalar. so su + tv = u + ku - kv, s = k+1 , t = -k hence s = 1-t. 2. k can be any scalar, a = -infinity, b = +infinity
