A) 1 : 2
B) 2 : 3
C) 2 : 1
D) 1 : 1
Correct Answer: B
Solution :
Let the B divide AC in ratio \[\lambda :1\], then \[5\mathbf{i}-2\mathbf{k}=\frac{\lambda (11\mathbf{i}+3\mathbf{j}+7\mathbf{k})+\mathbf{i}-2\mathbf{j}-8\mathbf{k}}{\lambda +1}\] \[\Rightarrow 3\lambda -2=0\] \[\Rightarrow \lambda =\frac{2}{3}\] i.e., ratio = 2 : 3.You need to login to perform this action.
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