Question

Example 6.1 Find the angle between force
F = (3i+4j-5k) unit and displacement
d (51+4j+3k) unit. Also find the
projection of F on d​

Answer 1

Answer:

Given

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force, 1 = 3 + 49 - 5

Displacement, à = 5î +4j+3Ń

Angle between two vector is given as, i.s = (3î+ 4ĵ- K)(sî +4ĵ + 3k) = 15 + 16 - 15 = 16

cos e =

fd

fd = (V3²+ 4? +(-5)²)(/5²+4? + (3)²) =(9+16 +25 )(/25 + 16 + 9) = 50

Therefore, cos e = = 0.32

16 50

8 = cos-1 (0.32) = 71.330

To find the pojection of fond, fcos e = V50 x 0.32 = 2.26 N

Explanation:

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