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
1101	Find the difference of the vectors $v_{1} = (240, 20)$ and $v_{2} = (- 150, 309.23)$ .	2
1102	Find the difference of the vectors $v_{1} = (230, 30)$ and $v_{2} = (- 150, 309.23)$ .	2
1103	Find the difference of the vectors $v_{1} = (250, 110)$ and $v_{2} = (- 200, 0)$ .	2
1104	Find the difference of the vectors $v_{1} = (190, 60)$ and $v_{2} = (- 120, 296)$ .	2
1105	Find the difference of the vectors $v_{1} = (250, 40)$ and $v_{2} = (- 110, 282)$ .	2
1106	Find the difference of the vectors $v_{1} = (240, 90)$ and $v_{2} = (- 140, 354.29)$ .	2
1107	Find the difference of the vectors $v_{1} = (225, 10)$ and $v_{2} = (- 150, 285)$ .	2
1108	Find the difference of the vectors $v_{1} = (240, 80)$ and $v_{2} = (- 110, 287.53)$ .	2
1109	Find the difference of the vectors $v_{1} = (220, 10)$ and $v_{2} = (- 190, 295)$ .	2
1110	Find the difference of the vectors $v_{1} = (230, 20)$ and $v_{2} = (- 190, 285.273)$ .	2
1111	Find the difference of the vectors $v_{1} = (220, 30)$ and $v_{2} = (- 190, 285.27)$ .	2
1112	Find the difference of the vectors $v_{1} = (- 160, 80)$ and $v_{2} = (- 140, 280)$ .	2
1113	Find the difference of the vectors $v_{1} = (220, 280)$ and $v_{2} = (- 150, 283.1)$ .	2
1114	Calculate the dot product of the vectors $v_{1} = (4, - 1, - 5)$ and $v_{2} = (6, - \frac{3}{2}, - \frac{15}{2})$ .	2
1115	Find the difference of the vectors $v_{1} = (17537, - \frac{35597}{1000})$ and $v_{2} = (17432, - \frac{38871}{1000})$ .	2
1116	Find the sum of the vectors $v_{1} = (0, 3)$ and $v_{2} = (1, - 3)$ .	2
1117	Calculate the dot product of the vectors $v_{1} = (6, 0)$ and $v_{2} = (8, 4)$ .	2
1118	Calculate the dot product of the vectors $v_{1} = (4, - 1)$ and $v_{2} = (1, 4)$ .	2
1119	Find the magnitude of the vector $∥ v ∥ = (0, 2)$ .	2
1120	Find the magnitude of the vector $∥ v ∥ = (2, 13)$ .	2
1121	Find the magnitude of the vector $∥ v ∥ = (2, - 6)$ .	2
1122	Find the sum of the vectors $v_{1} = (2, - 6)$ and $v_{2} = (- 4, 7)$ .	2
1123	Calculate the dot product of the vectors $v_{1} = (- 6, 4)$ and $v_{2} = (- 3, 6)$ .	2
1124	Find the angle between vectors $(- 6, 4)$ and $(- 3, 6)$ .	2
1125	Find the projection of the vector $v_{1} = (- 6, 4)$ on the vector $v_{2} = (- 3, 6)$ .	2
1126	Determine whether the vectors $v_{1} = (6, - 2)$ and $v_{2} = (- 1, 0)$ are linearly independent or dependent.	2
1127	Find the angle between vectors $(6, - 2)$ and $(- 1, 0)$ .	2
1128	Find the projection of the vector $v_{1} = (6, - 2)$ on the vector $v_{2} = (- 1, 0)$ .	2
1129	Find the difference of the vectors $v_{1} = (6, - 2)$ and $v_{2} = (- 1, 0)$ .	2
1130	Find the difference of the vectors $v_{1} = (12, - 4)$ and $v_{2} = (- 5, 0)$ .	2
1131	Find the magnitude of the vector $∥ v ∥ = (34, 72)$ .	2
1132	Find the magnitude of the vector $∥ v ∥ = (15, 83)$ .	2
1133	Find the magnitude of the vector $∥ v ∥ = (50, 57)$ .	2
1134	Calculate the dot product of the vectors $v_{1} = (50, 57)$ and $v_{2} = (29, 1)$ .	2
1135	Find the sum of the vectors $v_{1} = (50, 57)$ and $v_{2} = (29, 1)$ .	2
1136	Determine whether the vectors $v_{1} = (50, 57)$ and $v_{2} = (29, 1)$ are linearly independent or dependent.	2
1137	Find the projection of the vector $v_{1} = (50, 57)$ on the vector $v_{2} = (29, 1)$ .	2
1138	Find the angle between vectors $(57, 87)$ and $(67, 1)$ .	2
1139	Find the angle between vectors $(87, 30)$ and $(41, 1)$ .	2
1140	Find the angle between vectors $(47, 40)$ and $(50, 1)$ .	2
1141	Find the angle between vectors $(40, 24)$ and $(57, 1)$ .	2
1142	Find the angle between vectors $(24, 35)$ and $(87, 1)$ .	2
1143	Find the angle between vectors $(35, 84)$ and $(30, 1)$ .	2
1144	Calculate the dot product of the vectors $v_{1} = (15, - 8)$ and $v_{2} = (- 3, - 4)$ .	2
1145	Find the angle between vectors $(15, - 8)$ and $(- 3, - 4)$ .	2
1146	Find the angle between vectors $(24, 40)$ and $(40, 1)$ .	2
1147	Find the angle between vectors $(40, 25)$ and $(24, 1)$ .	2
1148	Find the angle between vectors $(80, 61)$ and $(25, 1)$ .	2
1149	Find the angle between vectors $(61, 39)$ and $(24, 1)$ .	2
1150	Find the angle between vectors $(56, 30)$ and $(25, 1)$ .	2