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Giải bài 1 trang 62 sách bài tập toán 12 - Chân trời sáng tạo

Cho hình hộp \(ABCD.A'B'C'D'\). a) Chỉ ra các vectơ có điểm đầu là \(B\) và điểm cuối là các đỉnh của hình hộp không cùng nằm trên một mặt của hình hộp với điểm \(B\). b) Tìm các vectơ bằng vectơ \(\overrightarrow {BC} \). c) Tìm các vectơ đối của vectơ \(\overrightarrow {BD} \).

♒Tổng hợp đề thi học kì 2 lớp 12 tất cả các môn - Chân trời sáng tạo

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Đề bài

Cho hình hộp \(ABCD.A'B'C'D'\). a) Chỉ ra các vectơ có điểm đầu là \(B\) và điểm cuối là các đỉnh của hình hộp không cùng nằm trên một mặt của hình hộp với điểm \(B\). b) Tìm các vectơ bằng vectơ \(\overrightarrow {BC} \). c) Tìm các vectơ đối của vectơ \(\overrightarrow {BD} \).

Phương pháp giải - Xem chi tiết

Sử dụng khái niệm vectơ, vectơ bằng nhau, vectơ đối nhau.

Lời giải chi tiết

a) Vectơ có điểm đầu là \(B\) và điểm cuối là các đỉnh của hình hộp không cùng nằm trên một mặt của hình hộp với điểm \(B\) là: \(\overrightarrow {BD'} \). b) Các vectơ bằng vectơ \(\overrightarrow {BC} \) là: \(\overrightarrow {AD} ,\overrightarrow {AD} ,\overrightarrow {BC} \). c) Các vectơ đối của vectơ \(\overrightarrow {BD} \) là: \(\overrightarrow {DB} ,\overrightarrow {D'B} \).

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