A) \[7\mathbf{i}+5\mathbf{j}+3\mathbf{k}\]
B) \[7\mathbf{i}+9\mathbf{j}+11\mathbf{k}\]
C) \[9\mathbf{i}+11\mathbf{j}+13\mathbf{k}\]
D) \[8\mathbf{i}+8\mathbf{j}+8\mathbf{k}\]
Correct Answer: B
Solution :
Let position vector of D is \[x\mathbf{i}+y\mathbf{j}+z\mathbf{k},\] then \[\overrightarrow{AB}=\overrightarrow{DC}\] \[\Rightarrow -2\mathbf{j}-4\mathbf{k}=(7-x)\mathbf{i}+(7-y)\mathbf{j}+(7-z)\mathbf{k}\] \[\Rightarrow x=7,\,\,y=9,\,\,z=11.\] Hence position vector of \[D\] will be \[7\mathbf{i}+9\mathbf{j}+11\,\mathbf{k}\].You need to login to perform this action.
You will be redirected in
3 sec