a cottage in boracay is 12m long. 8m wide and 3m high. a naughty cockroach starts on the floor at one corner. the cockroach ends at the diagonally opposite comer. (a) write the correct vector expression for its displacement. (b) determine the magnitude of the said displacement. (e) if the cockroach crawled from one corner to the other, what is the shortest possible distance?

Q: An airplane takes of heading east at a speed of 459 miles per hour at an angle of 15 degrees with…

A: Given that: speed of the plane= speed of 459 miles per hour The horizontal component is parallel…

Q: 3. If A = 60 lbs @164° and B = 32 lbs @222° find the sum of vectors A and B.

A:

Q: The horizontal component of vector a is equal to the vertical component of vector 6. If 30° is the…

A: Components of a vector v→ :  Horizontal component is v→ cos θ Vertical component is v→ sin θ where θ…

Q: Find the force required to keep a 3,000 pound car parked on a hill that makes an angle of 15 degrees…

A: Consider the figure below

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Q: Given vectors: A(6.4,3), B(0.4.6) and C(8.2.1) forms a triangle. Find the angle at point B

A: Solution

Q: If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the cosine of…

A: Given ,  If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the…

Q: •• An air traffic controller observes two airplanes approaching the airport. The displacement from…

A:

Q: Graph (by hand) the vector in standard position. What is the angle the vector makes with the…

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Q: Find the magnitude of the vector  , 3−6 .   Write your answer in simplified radical form.

A: Let the vector be u=3,-6. To determine the magnitude of the vector v=x,y, use the formula v=x2+y2.

Q: Solve the problem. Find the area of the triangle determined by the points P(-3, 6, -4), Q( 2, 10,…

A:

Q: 114. A tightrope walker and the balance bar together weigh 175 lb. Find the magnitudes of the…

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Q: If au + bû = 0, where a and b are positive. If a = -b, what must be true of vectors ū and v? Explain…

A: The relation between a and b is a=-b. Also, the relation between vectors u⇀ and v⇀ is au⇀+bv⇀=0⇀.

Q: The initial point of a vector is (-3, 1) and the terminal point is (2,-1). Sketch the vector on the…

A:

Q: Given the triangle ABC below with A(4, 3); B(7, -1) and C(2, -2). Answer the following questions:…

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Q: Determine whether or not the angle between the two vectors below is the right angle. You need to…

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Q: Q1: The following vectors; Ā =, B = 1- Find the cross product 2- Find the angle between à and B. 3-…

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Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

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Q: 1. Given vectors =, (a) Find the dot product of the given vectors. (b) Find 7, 71 (c) Find the…

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Q: B side of cube = 10 cm (A. B); (C. D); (E.G);(G.B) ? (Ex F); (A x G) dan (Cx F) ? 2. what is the…

A: From the given figure we get A→ = 10i+10k B→ =10iC→ =5j+10kD→=5i +10kE→ =10i+10jF→=10kG→=10i+10j+10k…

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.