A migrating salmon heads in the direction N 45° E, swimming at 2 mi/h relative to the water. The prevailing ocean currents flow due east at 3 mi/h. Find the true velocity of the fish as a vector. (Assume that the i vector points east, and the j vector points north.)

Q: Find the unit vector that has the same direction as the vector v = i + j.

A: For the vector ai∧+bj∧ ,unit vector is given by ai∧+bj∧a2+b2

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Q: A migrating salmon heads in the direction N 45° E, swimming at 2 mi/h relative to the water. The…

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Q: A migrating salmon heads in the direction N 45 E, swimming at 5 mi/h relative to the water. The…

A: Let the speed of salmon is representated by v. v = 5 mi/h And The current of the ocean is u. u = 3…

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Q: B A

A: Given:

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A: Recall: Formula for unit vector,                  u=v‖v‖

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Q: Find a unit vector in the same direction as a= i + j.

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A: please see the next step for solution

Q: 2. Find the unit vector in the direction of

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Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = ± i + ±j - k.

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A: Give vector v

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A: Given the wind is blowing at v=12 mi/hr in the direction of N40°W as shown below:

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Q: A migrating salmon heads in the direction N 45° E, swimming at 2 mi/h relative to the water. The…

A: From the given information, the current situation can be representing as follows.

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A:

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Q: Find the unit vector in the same direction as v. v 8i-j u =

A:

Q: Find a unit vector, u, in the same direction as vector v = .

A: Recall: Unit vector:  Let u→ be any vector then unit vector is            u∧ = u→u→

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A: Given,          A vector v parallel to u=−7i+j−6k and with magnitude v=12.

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A: Let the vector be 4i-3j+xk

Q: Find a unit vector in the direction of v = –i – 2j.

A: THE SOLUTION IS GIVEN BELOW