Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
Final Answer:
Showing 1 comment:
Mathematican
What is the component form of a vector?
The component form of a vector is given as (x, y), where x describes how far right or left a vector is going, and y represents how far up or down a vector is going.
When two points are given: P (the start point of the vector) and Q (the end point of the vector), the x component of the vector is the difference of x coordinates between endpoint Q and start point P, and y is the difference between the y coordinates of end Q and start point P.
Calculating the vector's magnitude uses the Pythagorean theorem to find the length of the hypotenuse of the formed right-angled triangle. Magnitude is the square root of x2+y2. The distance formula can be used to find it from two points, P and Q.
The component form of a vector is given as (x, y), where x describes how far right or left a vector is going, and y represents how far up or down a vector is going.
When two points are given: P (the start point of the vector) and Q (the end point of the vector), the x component of the vector is the difference of x coordinates between endpoint Q and start point P, and y is the difference between the y coordinates of end Q and start point P.
Calculating the vector's magnitude uses the Pythagorean theorem to find the length of the hypotenuse of the formed right-angled triangle. Magnitude is the square root of x2+y2. The distance formula can be used to find it from two points, P and Q.
Tips for related online calculators
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
See also our right triangle calculator.
See also our right triangle calculator.
You need to know the following knowledge to solve this word math problem:
geometryarithmeticplanimetryUnits of physical quantitiesGrade of the word problem
Related math problems and questions:
- Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°. - Vectors
Find the magnitude of the angle between two vectors u = (3; -5) and v = (10; 6) - Quadrilateral PQRS
PQRS is a quadrilateral with P(4,4), S(8,8), and R(12,8). If vector PQ=4*vector SR, find the coordinates of Q. Solve it - Points OPQ
Point P is on line segment OQ. Given OP = 6, OQ = 4x - 3, and PQ = 3x, find the numerical length of OQ. - Vectors 5
The position vector of a material point moving in a plane can be expressed in the introduced reference frame by the relation: r(t) = (2t + 3t²; 6t + 3), where t is time in seconds and the coordinates of the vector are in metres. Calculate: a) what is the - Parametric form
Calculate the distance of point A [2,1] from the line p: X = -1 + 3 t Y = 5-4 t Line p has a parametric form of the line equation. - Position vector of a point mass
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (6t²+ 4t ; 3t + 1) where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the position of
