AP EAMCET · Maths · Vector Algebra
The figure formed by the four points \((\hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}),(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}),(5 \hat{\mathbf{j}}-2 \hat{\mathbf{k}})\) and \((\hat{\mathbf{k}}-\hat{\mathbf{j}})\) is
- A trapezium
- B rectangle
- C parallelogram
- D quadrilateral
Answer & Solution
Correct Answer
(D) quadrilateral
Step-by-step Solution
Detailed explanation
Let \(\mathbf{O A}=\hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}\) \(\begin{aligned} \mathbf{O B} & =2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}} \\ \mathbf{O C} & =5 \hat{\mathbf{j}}-2 \hat{\mathbf{k}} \\ \mathbf{O D} & =\hat{\mathbf{k}}-\hat{\mathbf{j}}\end{aligned}\)…
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