F G H Trapezoid FGHI is dilated by a scale factor k = 1/2 with center of dilation at point F and then translated along the vector (4, –3) .What are the coordinates of the FIRST image?

Q: 6. An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of…

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Q: Find the equation of the plane through Po(-0.5, 1, 1) with normal vector n - [8] 3

A: We have to find the equation of the plane passing through the point  with normal vector

Q: 2. Let P be the point (-3, 5, 4). (b) Find the distance from the point P to the yz-plane. Find the…

A: Let P be the point .(a) To find the distance from point P to the yz-plane.(b) To find the distance…

Q: 3. (Sinx, Sinzx, 4. for the given vectors find the value of normalize W+V π = (1, 1, 3) V = (3, 1,…

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Q: A three-dimensional unit vector parallel to the y-axis is

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Q: Describe the curve represented by the vector-valued function r (t) = (2 cos t) i +tj + (2sin t) k…

A: Given: r→(t) =2costi→+tj→+2sintk→. x=2costy=tz=2sint Then, x2=costz2=sint

Q: A bee starts at the point (5, 7, -3) (with units in meters) and travels at a constant speed of 9 m/s…

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Q: Look at attached image, thank you

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Q: A velocity vector of variable magnitude of an object can have a constant direction. O True False

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Q: Q4\A: Find area of zone bounded by curves x = y? 2y = x-3 B: Find area of triangle whose vectors…

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Q: Given the vector-valued functions u(t)= esti+e-¹ + 2tk v(t) = 2ti - 3t² + 3k d find (u(t) v(t)) when…

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Q: Find the distance of point 4(2/3,2) from the line that passes through the origin and parallel to the…

A: follow next step

Q: To normalize x = (7,3) and obtain a unit vector in the same direction, what do you divide by?…

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Q: KnOwn equation x² + y² + z-9 = 0 and a point X₁(1,2,4), Determine: a. tangent vector equation; b.…

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Q: 14. Quadrilateral FGHI with verlices F(O.-2). G(3. 3). H5. -1). and X-1,-6): (-6, 0) F: H': I'.

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Q: Sketch your process of determining the vector and find its component form if 7 makes the angle of…

A: Here we can use easy method like spherical coordinates to solve this question. Here magnitude and…

Q: "Velocity" Vector or Scalar?

A: A mathematical quantity (physical ) is an amount or a number. The physical quantity can be any…

Q: (c) Use vector methods to find the point P on the circle (x - 5)² + (y-4)² = 4 which is closest to…

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Q: P5/ Find the Plo,2,-1) and normal to n=3i-2 -k squation tor the plane though

A: Use formula for equation of plane

Q: Determine the equation of the plane with a point 'a' and the normal vector 'n': a = (−1, 2, −3)t ,…

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Q: can you do question C ? I don't know how to convert vector form to general form

A: Use general and vector form of plane

Q: An object moves with the acceleration vector ä(t) = with initial ity vector Po= and initial position…

A: Given acceleration of an object after time t is a→t=-2.i⏜+j^+3k^ Let the position vector of the…

Q: The 'L' shape is reflected over the y axis. 3 Which one of the following shows the correct image? AY

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Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.