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# The figure formed by the four points $i^+j^ −k^,2i^+3j^ ,$ $3i^+5j^ −2k^$ and $k^−j^ $ is

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## Text solutionVerified

Let $A≡(1,1,−1),B≡(2,3,0),C≡(3,5,−2)$ and $D≡(0,−1,1)$

So, $AB=(1,2,1),BC=(1,2,−2),CD=(−3,−6,3)$

and $DA=(1,2,−2)$

Clearly, $BC∥DA$ but $AB$ in not parallel to $CD$.

So, it is a trapezium.

So, $AB=(1,2,1),BC=(1,2,−2),CD=(−3,−6,3)$

and $DA=(1,2,−2)$

Clearly, $BC∥DA$ but $AB$ in not parallel to $CD$.

So, it is a trapezium.

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**LIVE**classesQuestion Text | The figure formed by the four points $i^+j^ −k^,2i^+3j^ ,$ $3i^+5j^ −2k^$ and $k^−j^ $ is |

Topic | Vector Algebra |

Subject | Mathematics |

Class | Class 12 |

Answer Type | Text solution:1 |

Upvotes | 78 |