A leaf is floating on a river to the S30°E at 6 km/h. A wind blows to the west at a rate of 3 km/h. What is the leaf s resultant velocity? (The resultant vector forms aright triangle with the other two vectors)

Q: Uj = U2 = 3 U3 = 3 -2 re the vectors 1, U2 and 03 linearly independent? choose the vectors are…

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Q: The current of a river is given by the vector (7,5). The direction of the vector is

A: We have to find the direction

Q: Find a vector that has the opposite direction of a = 8i - 6j and twice the magnitude.

A: a=8i-6j

Q: A roller coaster travels 350 feet horizontally and then travels 130 feet at an angle of 60° from the…

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Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: Find the unit vector with the same direction as = (-3, -4). Round answers to the tenths place. -

A: The vector is given by w→ = -3, -4 To determine: The unit vector with same direction as w→.

Q: olve applications involving vectors. A basketball is shot at a 54° angle with the horizontal…

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Q: Zha begins 7 kilometers to the north of town, and rides his bike along a straight trail which leads…

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Q: Find the unit vector in the direction of (5, –4). Write your answer in component form.

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Q: Possible answers

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Q: The speed of an object is the magnitude of its relative velocity vector. A baseball player throws a…

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Q: The current in a river is pushing a boat in direction 24 degree north of east with a speed of 16…

A: Let us take the speed of river current to be V1 Let us take the speed of the wind be V2. Hence we…

Q: Starting from home at the origin O. a rhino travels for 9.1 km in the direction 60° North of East to…

A: We will use  components along x-axis and y-axis to represent all vectors

Q: 1. An airplane heads due north at 280 mph. It experiences a 38 mph crosswind flowing in the…

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Q: Which of the vectors in the image below represents 3 C when c = ?

A: Given query is to find the option which gives vector 3c.

Q: A river is flowing due east at 6 mi/h. A man heads his motorboat in the direction N 30° E in the…

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Q: A river is flowing due east at 8 mi/h. A man heads his motorboat in the direction N 30° E in the…

A: We need to find out the velocity of motorboat as vector. a) Express the true velocity of the…