Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.

Result

x =  1
y =  1
|PQ| =  1.41

#### Solution:

$x=6-5=1$
$y=9-8=1$
$|PQ|=\sqrt{ 1^{ 2 }+1^{ 2 } }=1.41$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Two vectors given by its magnitudes and by included angle can be added by our vector sum calculator.
Pythagorean theorem is the base for the right triangle calculator.

## Next similar math problems:

1. Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
2. Parallel and orthogonal
I need math help in this problem: a=(-5, 5 3) b=(-2,-4,-5) (they are vectors) Decompose the vector b into b=v+w where v is parallel to a and w is orthogonal to a, find v and w
3. Scalar product
Calculate the scalar product of two vectors: (2.5) (-1, -4)
4. Vector
Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5].
5. Euclid2
In right triangle ABC with right angle at C is given side a=27 and height v=12. Calculate the perimeter of the triangle.
6. Median and modus
Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell.
7. Six terms
Find the first six terms of the sequence a1 = -3, an = 2 * an-1
Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
9. ABS CN
Calculate the absolute value of complex number -15-29i.
10. Tetrahedron
Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm.
11. Euclidean distance
Calculate the Euclidean distance between shops A, B and C, where: A 45 0.05 B 60 0.05 C 52 0.09 Wherein the first figure is the weight in grams of bread and second figure is price in USD.
12. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
13. Calculation of CN
Calculate: ?
14. Calculation
How much is sum of square root of six and the square root of 225?
15. Trinity
How many different triads can be selected from the group 43 students?
16. Median
The number of missed hours was recorded in 11 pupils: 5,12,6,8,10,7,5,110,2,5,6. Determine the median.
17. Linsys2
Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144