Question:medium
If \( \vec{a} = (1,1,-1), \vec{b} = (-1,2,1) \) and \( \vec{c} = (-1,2,-1) \), then
\[ \left| (\vec{a} + \vec{b}) \times (\vec{b} + \vec{c}) \right| \]
is ______.
If \( \vec{a} = (1,1,-1), \vec{b} = (-1,2,1) \) and \( \vec{c} = (-1,2,-1) \), then
\[ \left| (\vec{a} + \vec{b}) \times (\vec{b} + \vec{c}) \right| \]
is ______.
Show Hint
If both vectors lie in the same plane (here \(z=0\)), their cross product will be perpendicular to that plane.
Updated On: Apr 30, 2026
- \( 2 \)
- \( 4 \)
- \( 6 \)
- \( 8 \)
- \( 10 \)
Show Solution
The Correct Option is C
Solution and Explanation
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