A wheel spins in place in a counterclockwise direction.

Q: Determine the resultant of the four forces acting the circular plate and the angle ϴ, which the…

A:

Q: Find a vector that has the opposite direction of a = 8i - 6j and twice the magnitude.

A: a=8i-6j

Q: In Cartesian coordinates, the position vector at point (3, 40, 1) is represented by

A:

Q: Which Image shows a rotation?

A: Given that:  1.                                          2.

Q: A pedestrian walks at a rate of 6 km per hour east. The wind pushes him northwest at a rate of 13 km…

A:

Q: What is the magnitude of a vector = (-181- 12j)m/s?

A: Given,            v = (-18i + 12j) m/s

Q: Find the magnitude of the vector

A: The given vector is 0,7We know that in a vector a,b the magnitude is a2+b2

Q: A small plane is flying north in calm air at 250 mph when it encounters a horizontal crosswind…

A: Given data The plane is flying north in calm air at 250 mph. Speed of the horizontal crosswind…

Q: Record the magnitude and angle of the vector sum.

A: Concept - first find the sum of x direction components and you direction components.

Q: On the diagram to the right, what are the components of the resultant of the three vectors shown? *…

A: We have three vectors, two of them are in horizontal direction, 6 N is -x direction and  14 N in +x…

Q: Use the formulas that we went over in the lecture to convert the following vector into "rectangular…

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Q: Find the magnitude & direction angle of the vector (-1,2).

A: We can solve this as follows:

Q: Rotate the vector (3,-2) 90° clockwise about the origin.

A:

Q: A man walks 95 km East the 55 km North. Calculate his resultant displacement and direction.

A: Solution :-

Q: Find the component form of the unit vector that makes an angle 0 = 3 2л with the positive x-axis.

A: We have to write the component form of the unit vector which makes an angle -2π/3 with positive x…

Q: Write a vector equation for the line segment from P to Q. 4

A:

Q: Rotate the vector (5,1) 90° clockwise about the origin. ([ ? ],[ ])

A: We need to rotate the following vector 90° clockwise about the origin x,y = 5,1

Q: I used a vector to represent a wind velocity of 13 miles per hour from the west. Determine whether…

A: It is known that a vector is a quantity that has both a direction and a magnitude.

Q: Write the vector shown in component form. (Assume that each point lies on the grid lines and that…

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Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: Rotate the vector (0,2) 270° counter-clockwise about the origin. {[ ? ],[ KU?1| )

A: Given vector is : 0,2 , rotate the vector 0,2 270∘in counter clockwise about origin.

Q: How can we find the cartesian equation from a vector equation?

A: Equation of line in vector form is:r→=a→+λb→Where,a→=x1i→+y1j→+z1k→ b→=b1i→+b2j→+b3k→

Q: Which figure shows a rotation followed by a translation?

A: as we can see here flag is rotated 90 degrees in a clockwise direction so here we have a rotation…

Q: A woman walks due west on the deck of an ocean liner at 2 mi/h. The ocean liner is moving due north…

A:

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: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

A:

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: the magnitude and direction of this vector.

A:

Q: Find the magnitude and direction angle of the vector. (-3,-1)

A: Magnitude:

Q: "Moved five meters to the right" Vector or Scalar?

A: Answer:  It a vector.

Q: Find a unit vector in the direction of v = (-6, 8).

A: we have to find a unit vector in the direction of v=-6,8   as v=-6,8 therefore, v→=-6i+8j as we know…

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

A:

Q: Rotate the vector (-3,5) 270° clockwise about the origin.

A: Use linear transformation

Q: A river flows due south at 3 mi/h. A swimmer attempting to cross the river heads due east swimming…

A: It is given that, a river flows due south at 3 mi/h. A swimmer attempting to cross the river heads…

Q: Find the unit vector in the direction of

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

Q: Rotate the vector (5,1) 90° counter-clockwise about the origin.

A: Given,        A point (5,1). we need to rotate the point (5,1) 90o counter-clockwise about the…

Q: Identify all lines of symmetry for the figure to the right. If it has rotational symmetry, tell the…

A: Line of Symmetry: A line of symmetry is the line that divides a shape into two identical or same…

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

A:

Q: Consider the point P(-2,3) on the coordinate system. Describe geometrically the position vector…

A: Given point P (2,3)

Q: Rotate the vector 180 degrees about the origin. Fill in the missing component [?] ([?], [] ) Enter

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Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin…

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Q: Find the unit vector in the same direction as

A:

Q: Describe the angle and center of rotation that will carry the rectangle onto itself.

A:

Q: Find the ordered pair that describes the vector whose magnitude is 10 and whose angle of rotation is…

A:

Q: Convert to a cylindrical or spherical coordinate system.

A: Sometimes evaluation of triple integral in Cartesian coordinate system becomes very hard to solve.…

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…

A: Let u be the vector representing the speed of the plane and v be the vector representing the speed…

Q: What are the coordinates of A 'after a 180 ° clockwise rotation?

A: Rotation of 180 degrees clockwise means rotation about the origin.

Q: I used a vector to represent a wind velocity of 13 miles per hour from the west.Determine whether…

A: Reason: (i)  When a velocity of a wind travels from the west and from the east of…

Q: Rotate the vector (-3,5) 270° counter-clockwise about the origin. {[ ? ],[ ])

A: When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes…