a sailboat sails 2 km due east

A sailboat sails 2 k m due East, 5 k m 37 ∘ South of East and finally an unknown displacement. If the final displacement of the boat from the starting point is 6 k m due East, determine the third displacement

The correct option is d 3 k m , north draw a rough diagram. find unknown displacement. given, resultant displacement is 6 k m due east which may be expressed as 6 ^ i . 2 k m due east, → s 1 = 2 ^ i 5 k m 37 ∘ south of east, its components along x − axis = 5 cos 37 ∘ = 5 × 4 5 = 4 ^ i along y − axis = − 5 sin 37 ∘ = − 5 × 3 5 = − 3 ^ j let the third displacement be → s 3 . ∴ 6 ^ i = 2 ^ i + ( 5 c o s 37 ∘ ^ j ) + → s 3 or 6 ^ i = 2 ^ i + ( 4 ^ i − 3 ^ j ) + → s 3 ⇒ unknown displacement, → s 3 = 3 ^ j final answer: (a).

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A sailboat sails 2km due east, 5km $ 37^\circ $ south of east, and finally an unknown displacement. If the final displacement of the boat from the starting point is 6km due east, the third displacement is..........

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A sail boat sails 2 km due East, 5 km  37 0  South of East and finally an unknown displacement. If the final displacement of the boat from the starting point is 6 km due East, determine the third displacement.

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A sail boat sails 2km due East, 5km 37 ∘ South of East and finally has an unknown displacement. If thefinal displacement of the boat from the starting point is 6km due East, the third displacement is

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A sail boat sails 2   km due East, 5   km 3 7 ∘ South of East and finally an unknown displacement. If the final displacement of the boat from the starting point is 6   km due East, the third displacement is

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A sail boat sails 2 km east, then 4 √ 2 km south - east and then an additional displacement in an unknown direction. Its final position is 5 km directly east of the starting point. If the direction of the third part of the journey is at an angle t a n − 1 − n , find n.

Let → r 1 , → r 2 and → r 3 be the displacement components and → r be the resultant displacement of the boat. → r 1 = 2 ^ i → r 2 = ( 4 √ 2 c o s 45 o ^ i − 4 √ 2 s i n 45 o ^ j ) = 4 ^ i − 4 ^ j → r 3 = → r = 5 ^ i → r = → r 1 + → r 2 + → r 3 → r 3 = → r − → r 1 − → r 2 = 5 ^ i − 2 ^ i − 4 ^ i + 5 ^ j = − ^ i + 4 ^ j ∴ the direction of → r 3 with x - axis is α = t a n − 1 ( 4 1 ) ⇒ n = 4.

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a sail boat sails 2km due east,5km37degree south of east and finally an unknown displacement.if final displacement of the boat from starting position ism6 km due east,then the third displacement.......

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