Vector Equality in a Cube
Grade 115 stepsĐạo hàm
Problem
Câu 1. Cho hình lập phương ABCD.A'B'C'D' (xem hình dưới). Vector nào sau đây bằng vector AD?
[Hình: hình lập phương ABCD.A'B'C'D']
A. AB.
B. AA'.
C. CD.
D. B'C'.
[Hình: hình lập phương ABCD.A'B'C'D']
A. AB.
B. AA'.
C. CD.
D. B'C'.
Step-by-step approach
- Define Vector EqualityRecall the conditions for two vectors to be considered equal.
- Identify Vector AD's PropertiesDetermine the magnitude and direction of the given vector AD from the cube diagram.
- Check Options A (AB) and B (AA')Compare vectors AB and AA' with AD to see if they are equal.
- Check Option C (CD)Compare vector CD with AD.
- Check Option D (B'C')Compare vector B'C' with AD.
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Concepts used
Vector equality (same magnitude and same direction)Properties of a cube (all edges are equal in length, parallel and perpendicular edges)
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