Question

A=2i+3j and B=5i-6j magnetude of A+B​

Answer 1

Answer:

a+b=7i+(-3)j

Step-by-step explanation:

/a+b/=√(7^2+-3^2)

√56

Answer 2

We are given two vectors A and B.

A= 2i+3j and B= 5i-6j

Now, we need to find A+B

A+B=

$(2i + 3j) + (5i - 6j) \\ = (2i +5i) + (3j - 6j) \\ = 7i - 3j$

Now, we have to find the magnitude of A+B

Magnitude of A vector ai+bj is given by the square root of the sum of squares of components of a vector.

Magnitude of A+B is

$\sqrt{ {7}^{2} + {3}^{2} } \\ = \sqrt{49 + 9} \\ = \sqrt{58}$

Therefore magnitude of A+B is

$\sqrt{58}$

#SPJ2