A cottage in Boracay is 12m long, 8 wide and 3m high. A naughty cockroach starts in the floor at one corner. The cockroach ends at the diagonally opposite corner. (a) Write the correct vector expression for its displacement. (b) Determine the magnitude of the said displacement. (c) If the cockroach crawled from one corner to the other, what is the shortest possible distance?

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

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

A:

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

A: The vector A can be written as: a=-5i The vector B is 60 degree north of west that means it makes an…

Q: What is the bearing of the boat from the island?

A:

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

A: Given that a tightrope walker and the balance bar together weigh 175 lb

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: How many different direction vectors does a line have?

A: Query - How many different direction vectors does a line have? Answer- Direction numbers is a number…

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:…

A:

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

A: Consider the vector, A→=1,4,-1,        B→=2,-4,6 To calculate the cross product of vector,…

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

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: Find C, the length of C, which is the sum of A and B.(Figure 2) Express your answer in terms of A,…

A: Consider length of vectors A, B and C is A, B and C.By linear pair  θ +c =180° c= 180- θ

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

A: As per our guidelines we are supposed to answer only 3 subparts of a question, please repost the…

Q: QUESTION 1 What two ingredients will suffice to find an equation of any given line? O a. A point…

A: A point that the line goes through and a vector that is parallel to the line

Q: A sled is being towed by two sled dogs. The tow ropes make angles of 22° and 23° with the direction…

A: According to the given data

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…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.