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
1151	Find the magnitude of the vector $∥ v ∥ = (45, 0)$ .	2
1152	Calculate the cross product of the vectors $v_{1} = (1, - 3, 2)$ and $v_{2} = (- 3, 9, - 6)$ .	2
1153	Find the magnitude of the vector $∥ v ∥ = (\frac{2}{5}, - \frac{4}{5})$ .	2
1154	Find the sum of the vectors $v_{1} = (6, 3, 45)$ and $v_{2} = (6, 0, 105)$ .	2
1155	Find the magnitude of the vector $∥ v ∥ = (12, 3, 145)$ .	2
1156	Calculate the dot product of the vectors $v_{1} = (5, 0, 5)$ and $v_{2} = (5, 52, 5)$ .	2
1157	Find the magnitude of the vector $∥ v ∥ = (5, 0, 5)$ .	2
1158	Find the difference of the vectors $v_{1} = (1, 0)$ and $v_{2} = (0, 1)$ .	2
1159	Find the magnitude of the vector $∥ v ∥ = (2, 1)$ .	2
1160	Find the angle between vectors $(2, 1)$ and $(4.1623, 2.1623)$ .	2
1161	Find the sum of the vectors $v_{1} = (0, 1)$ and $v_{2} = (9, - 1)$ .	2
1162	Find the difference of the vectors $v_{1} = (0, 1)$ and $v_{2} = (0, - 1)$ .	2
1163	Find the difference of the vectors $v_{1} = (5, 2)$ and $v_{2} = (2, - 4)$ .	2
1164	Find the sum of the vectors $v_{1} = (0, 75)$ and $v_{2} = (250, 75)$ .	2
1165	Find the difference of the vectors $v_{1} = (30, 159)$ and $v_{2} = (\frac{27}{2}, \frac{85}{2})$ .	2
1166	Calculate the dot product of the vectors $v_{1} = (3, 2)$ and $v_{2} = (4, 5)$ .	2
1167	Find the difference of the vectors $v_{1} = (3, 2)$ and $v_{2} = (4, 5)$ .	2
1168	Find the difference of the vectors $v_{1} = (- 36, 4)$ and $v_{2} = (21, 13)$ .	2
1169	Calculate the dot product of the vectors $v_{1} = (2, 1)$ and $v_{2} = (2, 2)$ .	2
1170	Calculate the dot product of the vectors $v_{1} = (2, 2, - 4)$ and $v_{2} = (1, 0, 0)$ .	2
1171	Calculate the dot product of the vectors $v_{1} = (12, 5)$ and $v_{2} = (2, 8)$ .	2
1172	Find the sum of the vectors $v_{1} = (- 1, 2)$ and $v_{2} = (- 3, 3)$ .	2
1173	Calculate the dot product of the vectors $v_{1} = (2, 2, - 4)$ and $v_{2} = (- 10, - 10, 20)$ .	2
1174	Find the sum of the vectors $v_{1} = (1, - 2)$ and $v_{2} = (- 5, 0)$ .	2
1175	Find the angle between vectors $(0, 4)$ and $(0, 15)$ .	2
1176	Find the magnitude of the vector $∥ v ∥ = (\frac{5017}{10}, \frac{34}{5})$ .	2
1177	Calculate the dot product of the vectors $v_{1} = (- 6, 18)$ and $v_{2} = (9, 3)$ .	2
1178	Find the magnitude of the vector $∥ v ∥ = (- 5, - 1)$ .	2
1179	Find the sum of the vectors $v_{1} = (- 5, - 1)$ and $v_{2} = (3, 2)$ .	2
1180	Find the angle between vectors $(6, 8)$ and $(2, 0)$ .	2
1181	Find the magnitude of the vector $∥ v ∥ = (15, 7)$ .	2
1182	Find the sum of the vectors $v_{1} = (7, 2)$ and $v_{2} = (1, 4)$ .	2
1183	Find the sum of the vectors $v_{1} = (12, 3)$ and $v_{2} = (- 5, 3)$ .	2
1184	Find the difference of the vectors $v_{1} = (0, 9)$ and $v_{2} = (10, 4)$ .	2
1185	Find the difference of the vectors $v_{1} = (4, - 3)$ and $v_{2} = (- 5, 0)$ .	2
1186	Find the difference of the vectors $v_{1} = (- 16, 12)$ and $v_{2} = (- 10, 0)$ .	2
1187	Find the angle between vectors $(7, 8)$ and $(5, - 3)$ .	2
1188	Find the difference of the vectors $v_{1} = (- 4, 2)$ and $v_{2} = (16, 12)$ .	2
1189	Find the difference of the vectors $v_{1} = (18, - 12)$ and $v_{2} = (- 10, 0)$ .	2
1190	Find the sum of the vectors $v_{1} = (2, - 4)$ and $v_{2} = (3, - 1)$ .	2
1191	Find the sum of the vectors $v_{1} = (- 4, - 2)$ and $v_{2} = (- 1, - 4)$ .	2
1192	Find the magnitude of the vector $∥ v ∥ = (5, 3)$ .	2
1193	Find the angle between vectors $(- 6, - 3)$ and $(- 8, 4)$ .	2
1194	Calculate the dot product of the vectors $v_{1} = (0, - 5, - 3)$ and $v_{2} = (0, - 5, - 5)$ .	2
1195	Find the sum of the vectors $v_{1} = (\frac{1}{2}, 0)$ and $v_{2} = (0, - \frac{1}{2})$ .	2
1196	Find the sum of the vectors $v_{1} = (\frac{1}{2}, \frac{3}{2})$ and $v_{2} = (- \frac{3}{2}, - \frac{1}{2})$ .	2
1197	Find the difference of the vectors $v_{1} = (\frac{1}{2}, \frac{3}{2})$ and $v_{2} = (- \frac{3}{2}, - \frac{1}{2})$ .	2
1198	Find the magnitude of the vector $∥ v ∥ = (5, 4)$ .	2
1199	Find the magnitude of the vector $∥ v ∥ = (- 232, - 232)$ .	2
1200	Find the magnitude of the vector $∥ v ∥ = (8, - 1)$ .	2