If a vector V is in standard position and the tip of the vector corresponds to the point(a, b), then we can write the vector in component form as _______. The x-coordinate,a, is called the ___________ _________ of V, and the y-coordinate, b, is called the________ ________ of V.

Q: (a) Find the unit vector having the same direction as B- A+ 2C. (b) Give the direction angles of B-…

A: We have to solve given vector Questions

Q: airplane, flying in a direction 45° north of east and has an airspeed 500 mph. It is jected to a…

A: Please refer to the image below

Q: The vector V has initial point P and terminal point Q. Write V as a position vector. P=(-9,-3),…

A: here the initial point is P=-9-3 and the terminal point is Q=-4-7

Q: CALC III- Vectors Find a vector u that has a magnitude of 1/3 going in the same direction as vector…

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Q: 1. The unit vector in the same direction as (-2, 3) is 3k is 2. The unit vector oppositely directed…

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Q: Fill in each blank with the appropriate word. (Select all that apply.) Two vectors are equivalent if…

A: Hey, since there are two questions posted, we will answer the three questions. If you want any…

Q: Find the components of a vector that points from the point P ( 5 , 5.45 )  to the point Q ( 1 , 2 )…

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Q: Write the vector shown below as a combination of vectors i and i shown above Vector = Note: In both…

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Q: 7 4 Find a unit vector in the direction of 1 2 A unit vector in the direction of the given vector…

A: We have to find the unit vector in the direction of 74121

Q: The initial and terminal points of a vector are given. Write the vector as a linear combination of…

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Q: Graph a vector, opposite to the given vector, that has an initial point at the origin.

A: In order to graph the opposite vector we need have one more point along with the origin.

Q: Solve the problem. A pilot wants to fly on a bearing of 68.9°. By flying due east, he finds that a…

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Q: . Refer to vectors v and w in the figure.  a. Sketch v - w by placing the initial point of - w at…

A: 1.

Q: a=(4,-3) and b = (-1,-2). Represent a + b by using the head to tail method. Use the Vector tool to…

A: Head to tail method : When adding vectors , place the tail of the second vector at the head of the…

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

A:

Q: 12 A boat’s velocity, measured in meters per second, is described by vector b⇀=⟨−3,−4⟩. In two or…

A:

Q: 8) An airplane is on a heading of 065° at 350 km/h and an 75 km/h wind is blowing from 310⁰.…

A: 0

Q: The vector v has initial position P and terminal point Q. Write v in the form ai+​bj; that​ is, find…

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Q: AB is the vector from the point (1, –2) to the point (5, 1). Find a unit vector in the opposite…

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Q: (12) Two vectors A and B have magnitude A = 3 and B = 3. Their vector product is A B=-5k + 2i. What…

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Q: 7. A pilot heads his jet due east. The jet has a speed of 680 km/h relative to the air. The wind is…

A: We have to express the velocity of the wind as a vector in component form, express the velocity of…

Q: Using your vector v →  from above, find a unit vector that points in the opposite direction from v…

A: Consider a vector: v→=0.6958 i^+2.349 j^……1 Let unit vector opposite to direction of v→ is u⇀.

Q: An airplane is flying with a constant altitude at a speed of 475 mph in a direction 25° north of…

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Q: a = (5, - 1) and b =(-2,-2). %3D Represent a + b using the head to tail method. Use the Vector tool…

A: Given:       a=5,-1       b=-2,-2   a→+b→=5+-2,-1+-2              =5-2,-1-2     a→+b→=3,-3

Q: If A = (-1, –7,-7) then what is the vector from the origin to A? Answer: ( And what is the vector…

A: Co-ordinates of the origin is O(0,0,0) We know vector from a point A(a,b,c) to a point B(p,q,r) is…

Q: 1. A vector is a quantity that has both a and a A vector can be represented geometrically as an What…

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Q: The vector v has initial point P and terminal point Q. Write v as a position vector. P(-6, - 1),…

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Q: The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find…

A: Given, P -4,-1, Q 3,-5 The vector v from the point P to the point Q can be represented as: The…

Q: à = (-1,-4) and b = (3,2). Represent a - b using the head-to-tail method. Use the Vector tool to…

A: a→=-1, -4 and b→=3, 2

Q: 3. A vector with magnitude 18 is shown in the diagram. Write the vector in the form (a, b) , leaving…

A: Magnitude of vector is 18 it can be written in required form as below : (a,b)=( 18cos∅,18sin∅) ∅=60°

Q: 1. The diagram shows a regular hexagon. Write a single vector that is equivalent to each vector…

A: Triangle law

Q: The vector v has initial position P and terminal point Q. Write v in the form ai+​bj;that​ is, find…

A:

Q: Vector A is 6 inches long and is 60° above the +x-axis in the first quadrant. While vector B is 6…

A: Shown here are two vectors as given in the question. Resolve the first and second vector on the x…

Q: A cat darts around a room chasing a ball. The cat first travels along the vector (-1,2) and then…

A: Given ,  A cat darts around a room chasing a ball. the cat first travels along the vector < -1, 2…

Q: (a) A road in the direction of the vector (4,3) leads from a guesthouse that is based at the origin.…

A: (a) A road in the direction of the vector (4,3) leads from guesthouse that is based at the origin.…

Q: Vectors (C)-« We have two vectors: a-(:) and b-) What is the resultant of -a plus b?

A: 64=a             58=b and we have -a as  -a=-6-4 now -a+b= -6-4+58 which is further equal to  -a+b=…

Q: Draw the vector V that goes from the origin to the given point. (-6, 3) Then write V in terms of…

A: Answer and explanation is given below

Q: 7 4 Find a unit vector in the direction of 1 2 1 A unit vector in the direction of the given vector…

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Q: u and v according to the figure, find a representative of I such Given the representatives of the…

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Q: Vector V is in standard position and makes an angle of 40° with the positive x-axis. Its magnitude…

A: The given vector V has a magnitude of 15, and it makes an angle 40⁰ with positive x Axis. We want…

Q: Find vector such that the magnitude is 2 and vector has the same direction as W = î - 2j +3k. Graph…

A: Given problem:- Find vector such that the magnitude is 2 and vector has the same direction as W= i ̂…

Q: Problem: If the wind is blowing from the east at 47 km/h and an airplane is on a heading of 155°…

A: Draw the vector diagram, which is given below

Q: 4. Consider the vector a=(-2,3,-1). [ [K/U] Find the magnitude of the vector ä. b) Find an unit…

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Q: 7-8. Vectors in the same direction are always parallel.

A: 7-8     two vectors U , V are parallel if there cross product is zero.        now U*V = |U| |V|…

Q: Two position vectors each start at the origin. The first has a magnitude of 49.0 cm, and is at an…

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Q: A unit vector is a vector of magnitude 1. Multiplying a vector by a scalar changes its magnitude but…

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Q: Vector W is in standard position, and makes an angle of 230° with the positive x-axis. Its magnitude…

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Q: If ū = -4i +3j is a position vector, v = i - 2j , and w=ū+v. a. Draw u (as a position vector), ở and…

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Q: 3. Below are 2 vectors in component form. Graph these vectors in standard position and then find…

A: (a)-v=-2,7v=-2i+7jv=-2i2+7j2=4+49=53tanθ=7-2θ=tan-17-2θ=-74.05°Therefore θ=-74.05°+180=105.95°

Q: True or False: Given a vector v, the vector -v will have an opposite magnitude. A True B False

A:

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.