作业帮（英文）题Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are i + 2j - k and -i + j - k respectively in the ratio 2:1 internally and externally还有知道A(3,2,-1),B(2,3,4) 和 C(0,
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/15 13:30:01
（英文）题Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are i + 2j - k and -i + j - k respectively in the ratio 2:1 internally and externally还有知道A(3,2,-1),B(2,3,4) 和 C(0,
（英文）题
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are i + 2j - k and -i + j - k respectively in the ratio 2:1 internally and externally
还有知道A(3,2,-1),B(2,3,4) 和 C(0,5,14) 三个点,怎么证明它们在同一条直线上?
（英文）题Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are i + 2j - k and -i + j - k respectively in the ratio 2:1 internally and externally还有知道A(3,2,-1),B(2,3,4) 和 C(0,
1.
若R在PQ间
R(1/3,4/3,-1)
若R在PQ外
R（-3,-2,-1）
2.
OA=(3,2,-1),OB=(2,3,4),OC=(0,5,14)
OC=λOA+（1-λ)OB
(0,5,14)=λ(3,2,-1)+(1-λ)(2,3,4)
λ=-2
找到一个点R的划分界限为连接两点P和Q的位置向量位置向量是我+ 2j - k和- i十j - 钾分别在2:1的比例从内部和外部