Forces of magnitudes 6 Newtons, 5 Newtons and 2 Newtons act along the vectors (6,-7,6), (-9,7,7) and (8,-2,8)?

Question

(i) What is the x component of the resultant force vector?
(ii) What is the y component of the resultant force vector?
(iii) What is the z component of the resultant force vector?

Answer 1

X Component= 7
Y Component= -11
Z Component= 87

Answer 2

Unit vector of (6, -7, 6) = (6/11, -7/11, 6/11)
Vector of the 6N force = (36/11, -42/11, 36/11)

Unit vector of (-9, 7, 7) = (-9/sqrt179, 7/sqrt179, 7/sqrt179)
Vector of the 5N force = (-45/sqrt179, 35/sqrt179, 35/sqrt179)

Unit vector of (8, -2, 8) = (8/sqrt132, -2/sqrt132, 8/sqrt132)
Vector of the 2N force = (16/sqrt132, -4/sqrt132, 16/sqrt132)

(i)
Resultant of x component
= 36/11 - 45/sqrt179 + 16/sqrt132
= 1.302

(ii)
Resultant of y component
= - 42/11 + 35/sqrt179 - 4/sqrt132
= 2.268

(iii)
Resultant of z component
= 36/11 + 35/sqrt179 + 16/sqrt132
= 1.393

Answer 3

Sorry can you repeat the question