Class 12 Mathematics - Chapter Three Dimensional Geometry NCERT Solutions | The vertices of ΔABC are A (3, 5,

Welcome to the NCERT Solutions for Class 12th Mathematics - Chapter Three Dimensional Geometry. This page offers a step-by-step solution to the specific question from Excercise ".$ex_no." , Question 5: the vertices of delta abc are a 3 5 minus 4....
Question 5

The vertices of ΔABC are A (3, 5, −4), B (−1, 1, 2), and C (−5, −5, −2).

Answer

The vertices of ΔABC are A (3, 5, −4), B (−1, 1, 2), and C (−5, −5, −2).

vertices of triangle ABC

The direction ratios of side AB are (−1 − 3), (1 − 5), and (2 − (−4)) i.e., −4, −4, and 6.

direction cosines of AB

Therefore, the direction cosines of AB are

direction of cosines of AB

The direction ratios of BC are (−5 − (−1)), (−5 − 1), and (−2 − 2) i.e., −4, −6, and −4.

Therefore, the direction cosines of BC are

direction cosines of BC

The direction ratios of CA are (−5 − 3), (−5 − 5), and (−2 − (−4)) i.e., −8, −10, and 2.

Therefore, the direction cosines of AC are

direction cosines of AC

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