Direction : Two statements are given one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the following options :
Assertion (A) : The vectors

\(\vec{\mathrm{a}}=6\overset{^}{\mathrm{i}}+2\overset{^}{\mathrm{j}}-8\overset{^}{\mathrm{k}}\\ \vec{\mathrm{b}}=10\overset{^}{\mathrm{i}}-2\overset{^}{\mathrm{j}}-6\overset{^}{\mathrm{k}}\\ \vec{\mathrm{c}}=4\overset{^}{\mathrm{i}}-4\overset{^}{\mathrm{j}}+2\overset{^}{\mathrm{k}}\)

represent the sides of a right angled triangle.
Reason (R) : Three non-zero vectors of which none of two are collinear forms a triangle if their resultant is zero vector or sum of any two vectors is equal to the third.

Question

Direction : Two statements are given one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the following options :
Assertion (A) : The vectors

\(\vec{\mathrm{a}}=6\overset{^}{\mathrm{i}}+2\overset{^}{\mathrm{j}}-8\overset{^}{\mathrm{k}}\\ \vec{\mathrm{b}}=10\overset{^}{\mathrm{i}}-2\overset{^}{\mathrm{j}}-6\overset{^}{\mathrm{k}}\\ \vec{\mathrm{c}}=4\overset{^}{\mathrm{i}}-4\overset{^}{\mathrm{j}}+2\overset{^}{\mathrm{k}}\)

represent the sides of a right angled triangle.
Reason (R) : Three non-zero vectors of which none of two are collinear forms a triangle if their resultant is zero vector or sum of any two vectors is equal to the third.

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Direction : Two statements are given one labelled Assertion (A) and the other labelled Reason (R). Select the correct an…

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