Vectors

(the database of solved problems)

All the problems and solutions shown below were generated using the Vectors Calculator.

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ID	Problem	Count
1051	Find the magnitude of the vector $∥ v ∥ = (- 9, 2)$ .	2
1052	Find the sum of the vectors $v_{1} = (8, - 4)$ and $v_{2} = (3, 1)$ .	2
1053	Find the angle between vectors $(- \frac{131}{200}, - \frac{29}{200})$ and $(\frac{77}{1000}, - \frac{409}{1000})$ .	2
1054	Find the angle between vectors $(\frac{717}{500}, \frac{309}{1000})$ and $(- \frac{19}{125}, \frac{887}{1000})$ .	2
1055	Find the sum of the vectors $v_{1} = (- 3, 4)$ and $v_{2} = (4, 5)$ .	2
1056	Determine whether the vectors $v_{1} = (1, - 3)$ and $v_{2} = (- 23, 9)$ are linearly independent or dependent.	2
1057	Find the magnitude of the vector $∥ v ∥ = (2, 4)$ .	2
1058	Determine whether the vectors $v_{1} = (1, 2, 5)$ , $v_{2} = (2, 5, 1)$ and $v_{3} = (1, 5, 2)$ are linearly independent or dependent.	2
1059	Find the difference of the vectors $v_{1} = (\frac{63961}{125}, \frac{35737}{2000})$ and $v_{2} = (- \frac{304999}{1000}, - \frac{44319}{200})$ .	2
1060	Find the sum of the vectors $v_{1} = (2, - 4)$ and $v_{2} = (- 4, 6)$ .	2
1061	Find the difference of the vectors $v_{1} = (- 2, 6)$ and $v_{2} = (3, 2)$ .	2
1062	Find the difference of the vectors $v_{1} = (5, 6)$ and $v_{2} = (- 4, - 1)$ .	2
1063	Find the sum of the vectors $v_{1} = (5, 1)$ and $v_{2} = (- 4, - 2)$ .	2
1064	Find the sum of the vectors $v_{1} = (6, - 2)$ and $v_{2} = (3, 2)$ .	2
1065	Find the magnitude of the vector $∥ v ∥ = (5, 2)$ .	2
1066	Find the magnitude of the vector $∥ v ∥ = (3, 3)$ .	2
1067	Calculate the dot product of the vectors $v_{1} = (5, - 3)$ and $v_{2} = (- 2, - 3)$ .	2
1068	Determine whether the vectors $v_{1} = (0, 2, 4)$ , $v_{2} = (4, 0, 7)$ and $v_{3} = (4, - 2, 3)$ are linearly independent or dependent.	2
1069	Find the magnitude of the vector $∥ v ∥ = (0, - 8)$ .	2
1070	Find the magnitude of the vector $∥ v ∥ = (5, 7)$ .	2
1071	Calculate the dot product of the vectors $v_{1} = (2, - 3)$ and $v_{2} = (4, 3)$ .	2
1072	Find the magnitude of the vector $∥ v ∥ = (3, - 2)$ .	2
1073	Find the magnitude of the vector $∥ v ∥ = (- 4, - 3)$ .	2
1074	Find the sum of the vectors $v_{1} = (1, 2)$ and $v_{2} = (- 2, - 3)$ .	2
1075	Find the sum of the vectors $v_{1} = (6, - 4)$ and $v_{2} = (- 7, 7)$ .	2
1076	Find the difference of the vectors $v_{1} = (- 1, 5)$ and $v_{2} = (4, - 3)$ .	2
1077	Find the projection of the vector $v_{1} = (6, 3)$ on the vector $v_{2} = (5, 9)$ .	2
1078	Find the projection of the vector $v_{1} = (- 8, - 8)$ on the vector $v_{2} = (- 1, - 9)$ .	2
1079	Calculate the dot product of the vectors $v_{1} = (- 1, 1)$ and $v_{2} = (- 1, 1)$ .	2
1080	Find the angle between vectors $(16, 12)$ and $(33, 23)$ .	2
1081	Find the magnitude of the vector $∥ v ∥ = (24, 10)$ .	2
1082	Find the magnitude of the vector $∥ v ∥ = (5, 8)$ .	2
1083	Find the sum of the vectors $v_{1} = (- 190, 321)$ and $v_{2} = (230, 80)$ .	2
1084	Find the difference of the vectors $v_{1} = (230, 80)$ and $v_{2} = (- 190, 321)$ .	2
1085	Find the magnitude of the vector $∥ v ∥ = (420, - 241)$ .	2
1086	Find the difference of the vectors $v_{1} = (240, 20)$ and $v_{2} = (- 140, 305)$ .	2
1087	Find the magnitude of the vector $∥ v ∥ = (380, - 285)$ .	2
1088	Find the difference of the vectors $v_{1} = (220, 20)$ and $v_{2} = (- 150, 305.34)$ .	2
1089	Find the magnitude of the vector $∥ v ∥ = (370, - 285.34)$ .	2
1090	Find the difference of the vectors $v_{1} = (210, 30)$ and $v_{2} = (- 150, 309.23)$ .	2
1091	Find the magnitude of the vector $∥ v ∥ = (360, - 279.23)$ .	2
1092	Find the difference of the vectors $v_{1} = (240, 40)$ and $v_{2} = (- 190, 321.43)$ .	2
1093	Find the difference of the vectors $v_{1} = (240, 10)$ and $v_{2} = (- 190, 321.43)$ .	2
1094	Find the difference of the vectors $v_{1} = (210, 30)$ and $v_{2} = (- 190, 321.43)$ .	2
1095	Find the difference of the vectors $v_{1} = (220, 40)$ and $v_{2} = (- 150, 309.23)$ .	2
1096	Find the difference of the vectors $v_{1} = (230, 6.67)$ and $v_{2} = (- 150, 309.23)$ .	2
1097	Find the difference of the vectors $v_{1} = (220, 20)$ and $v_{2} = (- 180, 318.7)$ .	2
1098	Find the difference of the vectors $v_{1} = (210, 40)$ and $v_{2} = (- 190, - 231.43)$ .	2
1099	Find the difference of the vectors $v_{1} = (210, 40)$ and $v_{2} = (- 190, 321.43)$ .	2
1100	Find the difference of the vectors $v_{1} = (220, 40)$ and $v_{2} = (- 110, 288)$ .	2