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प्रश्न
Given a + b + c + d = 0, state whether the following statement is correct or incorrect:
b + c must lie in the plane of a and d if a and d are not collinear, and in the line of a and d, if they are collinear.
विकल्प
Correct
Incorrect
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उत्तर
This statement is Correct.
Explanation:
∴ a + b + c + d = 0
∴ a + c = (b + d)
∴ b + d = (a + c)
If a + d are not collinear, then a + d will be in the plane of a and d.
Therefore, b + d = -(a + d) will also be in the plane of a + d. If a and d are collinear, then -(a + d) will also be collinear with a and d; therefore, b + c will also be parallel to a and d.
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