Question

Find the angle between force F=(3î + 49 – 5 ) unit and displacement d = (5ỉ + 4î+ 3k) unit. Also find the projection of Fond. n T rd 275) ALA 5) (2) 16 unit​

Answer 1

$f = 3i + 4j - 5k$

$d = 5i + 4j + 3k$

$f.d = 15 + 16 - 15 = 16$

$|f| = \sqrt{50}$

$|d| = \sqrt{50}$

$\cosθ \: = \frac{f.d}{ |f| |d| }$

$θ = { \cos }^{ -} \frac{16}{50}$

$θ = { \cos }^{ - } (0.32)$

$f \: on \: d \: = f \: cosθ \:$

$= \sqrt{50} \times \frac{16}{ \sqrt{50} }$

$= 15$

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Answer 2

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Answer:

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