A boat sails 20km N20°E and then turns and travels 12 km S30°E. Determine the angle between the vectors that represent each leg of the journey.

Q: If a vector has direction angles alpha = pi/4 and beta = pi/3, find the third direction angle gamma.

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Q: Find the unit vector in the direction of . Exact answers only and you must show all steps to receive…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the magnitude of the vector

A: The given vector is 0,7We know that in a vector a,b the magnitude is a2+b2

Q: A helicopter flies 11 miles south. It then turns 66° east of south and travels an additional 42…

A: A helicopter flies 11 miles south. It then turns 66 east of south and travels an additional 42…

Q: Write v as the sum of two vector components if v = -2i+ 4j and w = 5i + 3j * Student can enter max…

A: If V is sum of two components W and Z    then V = W + Z

Q: A pilot sets his airspeed to 500 km/h on a heading of North 65 degrees East . A strong wind is…

A:

Q: Which vectors are the same? y 上平十 y y A B y y D E х

A: We solve only one problem at a time so please submit them one by one for a quick and thorough…

Q: A submarine climbs at an angle of 30° above the horizontal with a heading to the northeast. If its…

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Q: Write the vector in the form . If necessary, round values to the nearest hundredth. ے ؟ 9 O(-8.46,…

A: Given: Magnitude of the vector = 9 Angle made by the vector with the positive x-axis=90°

Q: Determine the magnitude and the direction angles of a vector 1li + 3j – 7k ft. Magnitude is o ft, a…

A: Let the given vector be r=11i+3j-7k. Evaluate the magnitude of the given vector as follows.…

Q: A ship travels 16 mph at a bearing of $45°W. Write the velocity vector v in terms of i and j. Give…

A:

Q: An airplane flies horizontally from east to west at 262 miles per hour relative to the air.  It…

A: Wind: (44 mph, 45° south of west) - This vector points diagonally southwest with a magnitude of 44…

Q: Find the angle between the following pair of vector: A= -4.00i + 2.00j and B= 7.00i + 14.00j

A: Angle between two vectors a→=x1i^+y1j^ and b→=x2i^+y2j^ is given by,  cosθ=a→.b→a→b→ where,…

Q: How long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]?…

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Q: Find the angle between the vectors to the nearest hundredth of a degree. p= and q =

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Q: Find the magnitude and direction of the following vector v6i-11j =

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.