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Mathematics
Problem
Show that the points A, B and C with position vectors
a
⃗
=
3
i
^
−
4
j
^
−
4
k
^
\vec{a} = 3\hat{i} - 4\hat{j} - 4\hat{k}
a
=
3
i
^
−
4
j
^
−
4
k
^
,
b
⃗
=
2
i
^
−
j
^
+
k
^
\vec{b} = 2\hat{i} - \hat{j} + \hat{k}
b
=
2
i
^
−
j
^
+
k
^
and
c
⃗
=
i
^
−
3
j
^
−
5
k
^
\vec{c} = \hat{i} - 3\hat{j} - 5\hat{k}
c
=
i
^
−
3
j
^
−
5
k
^
respectively, form the vertices of a right angled triangle. [NCERT]
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