Find a vector v whose magnitude is 4 and whose componentin the i direction is twice the component in the j direction.

Q: Find the horizontal and vertical components of the vector v that has magnitude |v|=2 and direction…

A: Given, magntude of the vector =v =  2 and direction  β (angle with the +x axis)=45o  We have to find…

Q: Find the angle a between the vectors α= | and

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Q: Find the unit vector that has the same direction as the vector v = i + j.

A: For the vector ai∧+bj∧ ,unit vector is given by ai∧+bj∧a2+b2

Q: Find the unit vector in the direction of v and verify that it has length 1.

A: If vector u is given, then the unit vector in direction of vector u is given as,

Q: Express the vector in terms of it's length and direction. i + 2j - k

A: Solution:Given   i+2j+kTo express in terms of its length and direction.u=vvand v=vu

Q: Find the unit vector that has the same direction as the vector v = -i + 2j.

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Q: Find a unit vector in the direction of the given vector: 4 Soloc

A: Given vector: -442 Since, we know that unit vector in the director of vector xyz is defined as…

Q: Find the component of the resultant vector. u = v = Find: u +v

A: If the vector u=a1,b1 and the vector v=a2,b2 then the resultant vector u+v is; u+v=a1+a2 , b1+b2…

Q: If a vector gets multiplied by a positive number, its direction will be *.reversed FO TO

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Q: The wind is blowing at 20 miles per hour in the direction N30°W. Express its velocity as a vector v…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: The jet stream is blowing at 60 miles per hour in the direction N45°E. Express its velocity as a…

A: The jet stream is blowing at 60 miles per hour in the direction N45°E We need to express its…

Q: A unit vector in the direction of the given vector is

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Q: Find the vertical component of a vector, where the inclination  Θ of the vector from the horizontal…

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Q: is The unit vector in the direction of v=(4,0,–3)

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Q: A bullet is fired into the air with an initial velocity of 950 feet per second at an angle of 67o67o…

A: Given: A bullet is fired into the air with an initial velocity of 950 feet per second at an angle of…

Q: Find the x-component of the vector of length 3 in the direction of V = (-1,-1).

A: v=<-1,-1>=-i-j Unit vector in the direction of vector V i.e.,     v⏜=-i-j(-1)2+(-1)2 =-i-j2…

Q: A vector that has a magnitude of 1 is a ________ ________.

A: Fill in the  blanks in the statement " A vector that has a magnitude of 1 is a ________ ________.…

Q: find the unit vector u having the same direction as v  v=3j

A: Recall: Formula for unit vector,                  u=v‖v‖

Q: Find a vector v whose magnitude is 6 and whose component in the i direction is four times the…

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Q: Find the magnitude of the vector.

A: The given question is taken from the vector in which we have to find the magnitude of the given…

Q: Find the velocity and acceleration vectors in terms of u, and ug- r= 5 sint and 0 = 5t = (Du, + ()…

A: Recall:The velocity is given by      v =r' ur +(rθ') uθandThe accerleration is given by     a…

Q: Find a vector v whose magnitude is 3 and whose component in the i direction is five times the…

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Q: In the given diagram, which is the equivalent of vector

A: sum of vectors of closed triangle is 0 if we choose one direction -- Here if choose anticlockwise…

Q: Find the cross product of the unit vectors. jx i

A: Topic :- Vector

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction

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Q: Determine a unit vector in the direction in whichf(x,y) = 4x³ y² increases most rapidly at point…

A: Given that : - f(x,y)=4x3y2    at  P(-1,1) A function f(x,y) increases most rapidly at pointy P(a,b)…

Q: 17) Find a vector v whose magnitude is 26 and whose component in the i direction is twice the…

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Q: What vector has the same magnitude as the vector u = (4,-3) and points in the opposite direction?

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Q: Find a unit vector that has the same direction as  4i − j + 8k.

A: we have to find a unit vector that has the same direction as 4i-j+8k let the given vector be a→…

Q: Find the unit vector that has the same direction as v = 2i + 2j−k.

A: To find the unit vector for any vector v=ai+bj+ck, the formula v=a2+b2+c2 can be used. This formula…

Q: Find a vector v whose magnitude is 3 and whose componentin the i direction is equal to the component…

A: Given- a vector v whose magnitude is 3 and whose component in the i direction is equal to the…

Q: Find the unit vector in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: If the wind is blowing at 12 mi/hr in the direction N40°W, express its velocity as a vector v.

A: Given the wind is blowing at v=12 mi/hr in the direction of N40°W as shown below:

Q: Define the points P(-4, 1), Q(3, -4), and R(2, 6).

A: Given P-4,1, Q3,-4, R2,6 To find the unit vector with the same direction as QR→

Q: Find the component form of the indicated vector.

A: The given question belonging to the vector in which we have to find the value of subtraction of the…

Q: If v = 3i - 4j is a velocity vector, express v as a product of its magnitude (its speed) times its…

A: To Determine: If v=3i-4j is a velocity vector, express v as a product of its magnitude (its speed)…

Q: Find the unit vector in the same direction as v. v= 4i -j

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Q: Find the unit vector in the direction opposite (-2, –1). to y =

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Q: A vector is 0.888 m long and points in a 205 degree direction. Find the y-component of the vector.

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Q: Find a unit vector that is orthogonal to both ı̂ +ȷ̂  and ı̂ +?̂

A: Given query is to find the unit orthogonal vector to the given vectors.

Q: Find a vector in the direction opposite that of v = (1, –4) with magnitude 5.

A: The vector in the opposite direction of v will be -v. Then make that vector a unit vector and then…

Q: Find the unit vector in the same direction as

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Q: A sailboat is sailing at a speed of 6 knots at a true bearing of 220°. Give the velocity of the…

A: First represent the vector on coordinate plan than break the components along x & y-axis.

Q: 2. Give the components for the velocity vector of a boat that is moving 50 km/hr toward the…

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Q: Find the unit vector in the same direction as v = 5i - 12j. Then verify that thevector has magnitude…

A: Unit vector in same direction vectorvector's magnitude

Q: Calculate the magnitude and direction of vector A and B respectively?

A: Given, A¯=-5i^+2j^B¯=6i^-5j^

Q: A vector has an x-component of −26.0 units and a y-component of 45.0 units. Find the magnitude and…

A: Explanation of the solution is given below..

Q: Find the horizontal and vertical components of the vector u that has magnitude |u|=4 and direction…

A: Given that, the magnitude is |u|=4 and the direction angle is α=20∘