El vector a tiene componented ax = 2.70 cm, ay=2.25 cm; y el vector b tiene componentes bx = 0.30 cm, by = 1.75 cm. Calcular las componentes de la resultante a+b

Given that,

A vector A has x component to be 2.7cm and y component to be 2.25cm

Then,

A = 2.7•i + 2.25•j

A vector B has x component of 0.30cm and y component of 1.75cm

B = 0.3•i + 1.75•j

So, we want to find A+B

Addition of vectors

Generally

(a•i + b•j) + (c•i + d•j) = (a+c) •i + (b+d) •j

Vectors are added component wise.

So,

A + B = (2.7•i + 2.25•j) + (0.3•i + 1.75•j)

A + B = (2.7 + 0.3) •i + (2.25 + 1.75) •j

A + B = 3•i + 4•j

We can also find it magnitude and direction

Generally,

A = a•i + b•j

|A| = √ (a²+b²)


So,

|A+B| = √ (3²+4²) = √9+16 = √25

|A+B| = 5

And it's direction

< = arctan (y/x)

< = arctan (4/3)

< = 53.13°