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Giải bài 2 trang 63 sách bài tập toán 12 - Chân trời sáng tạo

Cho tứ diện \(OABC\). Tìm các vectơ: a) \(\overrightarrow {OA} + \overrightarrow {AB} - \overrightarrow {OC} \); b) \(\overrightarrow {OA} + \overrightarrow {OB} + \overrightarrow {OC} \).

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

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Đề bài

Cho tứ diện \(OABC\). Tìm các vectơ: a) \(\overrightarrow {OA}  + \overrightarrow {AB}  - \overrightarrow {OC} \); b) \(\overrightarrow {OA}  + \overrightarrow {OB}  + \overrightarrow {OC} \).

Phương pháp giải - Xem chi tiết

Sử dụng quy tắc ba điểm, quy tắc trừ, quy tắc hình hộp.

Lời giải chi tiết

a) \(\overrightarrow {OA}  + \overrightarrow {AB}  - \overrightarrow {OC}  = \overrightarrow {OB}  - \overrightarrow {OC}  = \overrightarrow {CB} \). b) Vẽ hình hộp \(OADB.CFEK\).

Theo quy tắc hình hộp ta có: \(\overrightarrow {OA}  + \overrightarrow {OB}  + \overrightarrow {OC}  = \overrightarrow {OE} \).

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