Answer:
-7√2 + 7√2 i.
Explanation:
To convert a complex number from polar form to rectangular form, we use the following formula:
a + bi = r(cos θ + i sin θ)
where a and b are the rectangular coordinates, r is the modulus or magnitude, and θ is the argument or angle.
In this case, we have:
r = 14
θ = 135°
So, we can plug these values into the formula and simplify:
a + bi = 14(cos 135° + i sin 135°)
a + bi = 14(-√2/2 + i * (-√2/2))
a + bi = -7√2 + 7√2 i
Therefore, the complex number in rectangular form is -7√2 + 7√2 i.