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  • Consider with position vectors <img alt="7\hat{i}-4\hat{j}+7\ha

Consider A,B,C\; and\; D with position vectors 7\hat{i}-4\hat{j}+7\hat{k},\;\; \hat{i}-6\hat{j}+10\hat{k},\; \; -\hat{i}-3\hat{j}+4\hat{k}\; \; and\; \; 5\hat{i}-\hat{j}+5\hat{k} respectively. Then ABCD is a

Option: 1

rhombus


Option: 2

rectangle


Option: 3

parallelogram but not a rhombus


Option: 4

None of these


Answers (1)

best_answer

A(7, -4, 7),\,\, B(1, -6, 10),\,\, C(-1,-3,4)\ and\ D (5,-1,5)

Using distance formula

AB=7; CD=\sqrt{41}; BC=7; DA=\sqrt{17}

Posted by

Devendra Khairwa

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