Given the vectors, a = 3i + 4j, b = -2i + 5j, c = 10i - j, d = -(1/3)i + (5/2)j find:
||10a + 10b + 10c||

a. 10sqrt(106)
b. 50sqrt(13)
c. 10sqrt(185)
d. 10sqrt(145)

Question

Given the vectors, a = 3i + 4j, b = -2i + 5j, c = 10i - j, d = -(1/3)i + (5/2)j find:
||10a + 10b + 10c||

a. 10sqrt(106)
b. 50sqrt(13)
c. 10sqrt(185)
d. 10sqrt(145)

anonymous · Answer

@Kainui Can you help me? I cant figure out how to solve it

kainui · Answer

So multiply each of the vectors, a, b, and c by 10 and then add up their corresponding elements. Then you will have a single vector. To find the length of the vector, which is really the hypotenuse of a triangle, just use the pythagorean theorem by squaring each of the 3 sides, and the add them up and take the square root of that.