Two forces are acting on a same body `vec(F_(1))=(2hat(i)+3hat(j)-hat(k))` and `vec(F_(2))=(hat(i)+2hat(j)+4hat(k))`, then find component of `vec(F_(1

Question

Two forces are acting on a same body `vec(F_(1))=(2hat(i)+3hat(j)-hat(k))` and `vec(F_(2))=(hat(i)+2hat(j)+4hat(k))`, then find component of `vec(F_(1

Two forces are acting on a same body `vec(F_(1))=(2hat(i)+3hat(j)-hat(k))` and `vec(F_(2))=(hat(i)+2hat(j)+4hat(k))`, then find component of `vec(F_(1))` along `vec(F_(2))`.
A. `((4)/(7sqrt(6)))`
B. `(4)/(9sqrt(5))`
C. `(4)/(sqrt(21))`
D. `(7)/(4sqrt(6))`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`vec(F_(1))implies2hat(i)+3hat(j)-hat(k)`
`vec(F_(2))implieshat(i)+2hat(j)+4hat(k)`
`F_(1)cos thetaimplies (vec(F_(1)).vec(F_(2)))/(|F_(2)|)implies(2+6-4)/(sqrt(21))implies(4)/(sqrt(21))`

5 views Answered 2023-02-05 15:29