In rectangle ABCD, side AB = 3cm, side BC = 4cm and point N is the middle of AB. find the modules

univerkov | July 1, 2021 | education

In rectangle ABCD, side AB = 3cm, side BC = 4cm and point N is the middle of AB. find the modules of vectors: AB, BC, DC, NC, NA, CB, AC.

Vector module | ↑ AB | = 3 cm.

Vector module | ↑ BC | = 4 cm.

Vector module | ↑ DC | = | ↑ AB | = 3 cm.

| ↑ НC | = √ (BH ^ 2 + BC ^ 2) = √ ((AB / 2) ^ 2 + BC ^ 2) = √ (9/4 + 16) = √ (73/16) = √73 / 4 cm.

| ↑ ON | = | ↑ AB | / 2 = 3/2 = 1.5 cm.

| ↑ CВ | = | ↑ BC | = 4 cm.

| ↑ AC | = √ (AB ^ 2 + BC ^ 2) = √ (9 + 16) = √25 = 5 cm.

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