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Giải bài 2 trang 93 SGK Toán 10 tập 1 – Chân trời sáng tạo

Cho tứ giác ABCD, thực hiện cả phép cộng và trừ vectơ sau:

🌟Tổng hợp đề thi học kì 2 lớp 10 tất cả các môn - Chân trời sáng tạo

Toán - Văn - Anh - Lí - Hóa - Sinh - Sử - Địa...
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Đề bài

Cho tứ giác ABCD, thực hiện cả phép cộng và trừ vectơ sau:

a)  \(\overrightarrow {AB} + \overrightarrow {BC} + \overrightarrow {CD} + \overrightarrow {DA}\);                       

b)  \(\overrightarrow {AB}  - \overrightarrow {AD} \)

c) \(\overrightarrow {CB}  - \overrightarrow {CD} \).

Lời giải chi tiết

a) \(\overrightarrow {AB}  + \overrightarrow {BC}  + \overrightarrow {CD}  + \overrightarrow {DA}  = \left( {\overrightarrow {AB}  + \overrightarrow {BC} } \right) + \left( {\overrightarrow {CD}  + \overrightarrow {DA} } \right) = \overrightarrow {AC}  + \overrightarrow {CA}  = \overrightarrow {AA}  = \overrightarrow 0 \)b) \(\overrightarrow {AB}  - \overrightarrow {AD}  = \overrightarrow {AB}  + \overrightarrow {DA}  = \overrightarrow {DA}  + \overrightarrow {AB}  = \overrightarrow {DB} \)c) \(\overrightarrow {CB}  - \overrightarrow {CD}  = \overrightarrow {CB}  + \overrightarrow {DC}  = \overrightarrow {DC}  + \overrightarrow {CB}  = \overrightarrow {DB} \)

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