A plane is flying with an airspeed of 140 miles per hour and heading of 155∘degrees. The wind currents are running at 40 miles per hour at 175∘degrees clockwise from due north. Use vectors to find the true course and ground speed of the plane. Round to the nearest whole number.  true course - ground speed -

Q: Find the magnitude and direction of the vector w = , .

A: given vector:-    w = < -2√2 , -2√2 >  or w = -2√2i - 2√2j

Q: Show that the vectors are parallel, and determine whether they have the same direction or opposite…

A: Consider the given vectors a→=-52i+6j  ,   b→=-10i+24j

Q: Choose the vector has a magnitude of 6 and a direction of 0 = 150°. O(-3,3/3) O (3.-343)

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Q: For any unit vectors v and w, find the dot products (actual numbers) of (a) v and -v (b) v + w and v…

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Q: Find a unit vector in the same direction as a= -5 i  -7 j

A: To find a unit vector in the direction of a given vector, divide the vector by its magnitude. like:…

Q: If vectors have the same magnitude and direction, then they are_____.

A: We have to fill in the blanks: If vectors have the same magnitude and direction, then they are…

Q: Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 57 -…

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Q: Draw the vector V that goes from the origin to the given point. Then write V in terms ofthe unit…

A: We have to draw a vector that starts from the origin (0,0) and goes to the point (-1,-5).

Q: Find the angle between the vectors, and

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Q: Use component method to find the magnitude and direction of the resultant of the following vectors:…

A: Consider the given information. Let's consider the vectors and make the graph for the given vectors.

Q: Determine the resultant of the vectors with the given magnitudes A 557, 153.0° B. 1236, 233.0° The…

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Q: Show that the vectors are parallel, and determine whether they have the same direction or opposite…

A: Known fact: If a⇀×b⇀=0 then the vectors are parallel to each other.

Q: The opposite of a vector is a vector with the ______ magnitude and __________direction. To obtain…

A: we know that opposite of a vector is a vector with same magnitude and opposite direction. to obtain…

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: Obthe resulting parallelogram from the following two vectors that form non-parallel sides A = 3 + 2…

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Q: Copy the vectors in the figure and use them to draw the following vectors.(a) u + v(b) u + w(c) v +…

A: Copy the vectors in the figure and use them to draw the following vectors :   (a) u + v (b).  u +…

Q: Find the angle a between the vectors 1 -3 and 3 109.136

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Q: A child pulls a sled along level ground by exerting a force of 30 pounds on a handle that makes an…

A: Given that: The magnitude of v is 30 pounds Angle( θ ) = 45°

Q: The question says: "Find the magnitude and direction (in degrees) of the vector" V= 40 , 9

A: We use the magnitude formula with a=40 and b=9Answer: Magnitude = 41

Q: Find the angle between vectors: a = 51-4j+2k and, b= 41+3)+2√5k

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Q: A plane is flying with an airspeed of 170 miles per hour and heading 155°. The wind currents are…

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Q: Copy the vectors in the figure and use them to draw the following vectors. (а) а + b (b) а — b (c) a…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: Find the angle between the vectors originating from 0(0,0,0) toward A(2,3,1) and toward B(-3,1,-2)…

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Q: The direction of vector RS = is А. 300 В. 150° C. 120° D. 240° Е. 30

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Q: Which of the following vectors are parallel :

A: Two vectors are parallel if one can written as linear combination of other.  As showing in the hand…

Q: Given the following vectors, add the vectors and find the magnitude and angle of the resultant…

A: 4. Given, v=(5,9) u=(-5,-9) According to given, Resultant(R)=((5-5)²+(9-9)²)1/2 R=0 Angle is given…

Q: (a) How do you tell if two vectors are parallel?

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Q: What is the component form for a vector with a magnitude of 21 and a direction of 321°? A (14.18,…

A: We have to solve given Questions.

Q: Find a unit vector in the direction of, a) й3 (-4,-3) b) й 3 (12, -5)

A: We have to find

Q: Place the vectors a, b, c, and d in order of length, from smallest to largest. Show your…

A: We have to find length of each vectors first.

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

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Q: You are flying a hang glider at 19 meters per second at 38° north of east. The wind is blowing at 3…

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Q: Write the vector in the form . If necessary, round values to the nearest hundredth. 43) 5(0525%3=…

A: For this we can easily write in vector form from graph itself as there given magnitude and angle.

Q: Find the angle between the pair of vectors to the nearest tenth of a degree. (9, -1), (-4,-1) 79.8°…

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Q: A boat sails 20km N20°E and then turns and travels 12 km S30°E. Determine the angle between the…

A: N 20 E means 20 degrees from the North to the direction of East. S 30 E means 30 degrees from the…

Q: Draw vectors representing the course of a ship that travels      75 miles on a course with heading…

A: It is known that the heading of an object is the angle measured clockwise from due north to the…

Q: A plane is flying with an airspeed of 200 mph in the direction of N 50°E and a 40 mi/hr wind is…

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: 10,7 and -2,-75

Q: Copy the vectors in the figure and use them to draw the following vectors. (а) а + b (c) 2а (е) 2а +…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Find the angle a between the vectors 3 2 B [B] and -4 -3

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Q: A plane is flying with an airspeed of 160 miles per hour and heading of 140°. The wind currents are…

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Q: Find a unit vector in the direction of, a) i = (-8,15) b) i = (12,–16)

A: a) To find the unit vector in the direction of u→ = <-8,15> The required unit vector is v→ is:…

Q: Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 5ï -…

A: c Given vector is  a→=5i→-7j→+2k→

Q: A plane is flying with an airspeed of 160 miles per hour and heading 155°. The wind currents are…

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Q: Given the vector u with magnitude 3 and direction 185°, and vector v with magnitude 6 and direction…

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Q: Given the vectors a = (−2, −5, −3) and b = (1, −4, 2), find A unit vector in the direction of a.

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Q: A plane is flying with an airspeed of 180 miles per hour and heading 150°. The wind currents are…

A: Solution is here

Q: Let each of the vectors: A = (1, -3, 5) B = (2,3,-2) and C = (-2,0,0) extends outward from the…

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