Question

1) The force and displacement vectors are given below in component form, calculate the Dot product fog of the force and displacement vector and determine the angle (6) between the vectors? = (+12N)&+ (-18 N)9+ (+5 N)2 * = (+2 m)X + (+4 m)+(-3 m) 28 Nm and 0 = 0° + 111 Nm and o = 21° - 63 Nm and p = 58° - 33 Nm and O = 146° - 28 Nm and 0 = 120° - 33 Nm and O = 48° 111 Nm and O = 119° - 63 Nm and 0 - 122°

Answer 1

F = 12 5% + (-18) 9 + 5 ² x = 2 sê t u ý + (-3) 2 Dot product is given as - F. x = F 115cl cost where; F = J (Fel? + (53) + (FJ? = Ses + (-185² + (58 A) F = √493 And; 5 = 5 xc² + y² + z = 5(2²+ (4)² + (3)? =) 3 = 29 Also; 55.50 = 1, 50 g = 0 5. Ž = 0 g. ă = 0, j. j = 1 g. ž=0 zł=0 ž. ý=0 z = 1 from eam 0 =) (12) (2) + (-18) (7) + (5) (-3) = 5493 se cose -) -63 coso - Coso ~ coso ~ -0.5268 493 29 A 1990 and; F. X = (12) (2) + (-18) (4) + (5X-3) = -63 Nm

So, last option is correct.

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