Question:
If \( a, b, c \) are three non-coplanar vectors, then
\[
(a + b) \times (c + b) = (a - b) \times (c - b) = b \times c
\]
If \( a, b, c \) are three non-coplanar vectors, then
\[
(a + b) \times (c + b) = (a - b) \times (c - b) = b \times c
\]
Show Hint
The cross product follows distributive properties and can be expanded using vector identities.
Updated On: Jan 12, 2026
- \( a \times b \)
- \( a \times c \)
- \( b \times a \)
- \( a \times b \)
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The Correct Option is A
Solution and Explanation
We simplify using the properties of cross product and the vector identities to obtain the result.
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