Question

The following forces act on a particle P :F1=2i+3j−5k, F2=−5i+j+3k, F3=i−2j+4k ,F4=4i−3j−2k, Find the magnitude of the resultant
a)2i−j
b)2i−j+k2
c)2i−j−2k
d)i−j−k

Answer 1

Answer on Question #67859 – Math – Analytic Geometry

Question

The following forces act on a particle P:

$$F1 = 2i + 3j - 5k, \ F2 = -5i + j + 3k, \ F3 = i - 2j + 4k, \ F4 = 4i - 3j - 2k.$$

Find the magnitude of the resultant:

a) $2i - j$

b) $2i - j + k2$

c) $2i - j - 2k$

d) $i - j - k$

Solution

$$\begin{array}{l} F_1 + F_2 + F_3 + F_4 = (2i + 3 - 5k) + (-5i + j + 3k) + (i - 2j + 4k) + \\ (4i - 3j - 2k) = (2 - 5 + 1 + 4)i + (3 + 1 - 2 - 3)j + \\ + (-5 + 3 + 4 - 2)k = 2i - j. \end{array}$$

Answer: a) $2i - j$

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