Q. Three vectors 7$\widehat{\dot{\mathbf{i}}} - 11\widehat{\dot{\mathbf{j}}} + \widehat{\mathbf{k}},\ 5\widehat{\dot{\mathbf{i}}} + 3\widehat{\dot{\mathbf{j}}} - 2\widehat{\mathbf{k}}$ and $12\widehat{\dot{\mathbf{i}}} - 8\widehat{\dot{\mathbf{j}}} - \widehat{\mathbf{k}}$ from

A) an equilateral triangle
B) an isosceles triangle
C) a right angled triangle
D) Collinear
Explanation

(d)
$\left| \begin{matrix}
7 & - 11 & 1 \\
5 & 3 & - 2 \\
12 & - 8 & - 1
\end{matrix} \right|$
$= 7( - 3 - 16) + 11( - 5 + 24) + 1( - 40 - 36)$
$= - 133 + 209 - 76 = 0$
$\therefore Vector\ are\ collinear.$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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