Question

An

N
What is the sum & in Unit
Vector of the 2
& Vectors
a=4. oi + 3.0j and
vector b=- 13.oi +7.0j What are thee
magnitude and direction of a+bالا​

Answer 1

Step-by-step explanation:

Given that,

Vector a = 4i+3j

Vector b = -13i+7j

We need to find the magnitude and direction of (a+b). So,

(a+b) = (4i+3j) + (-13i+7j)

= (4i-13i)+(3j+7j)

= -9i+10j

Magnitude of (a+b).

`|a+b|=√((-9)^2+10^2) \\\\=13.45`

Direction of (a+b),

`\tan\theta=(10)/(-9)\\\\\theta=\tan^(-1)((-10)/(9))\\\\\theta=-48.01^(\circ)`

Hence, this is the required solution.