Vectors – Solved Problems Database

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 $ \vec{v_1} = \left(240,~20\right) $ and $ \vec{v_2} = \left(-150,~309.23\right) $ .	2
1102	Find the difference of the vectors $ \vec{v_1} = \left(230,~30\right) $ and $ \vec{v_2} = \left(-150,~309.23\right) $ .	2
1103	Find the difference of the vectors $ \vec{v_1} = \left(250,~110\right) $ and $ \vec{v_2} = \left(-200,~0\right) $ .	2
1104	Find the difference of the vectors $ \vec{v_1} = \left(190,~60\right) $ and $ \vec{v_2} = \left(-120,~296\right) $ .	2
1105	Find the difference of the vectors $ \vec{v_1} = \left(250,~40\right) $ and $ \vec{v_2} = \left(-110,~282\right) $ .	2
1106	Find the difference of the vectors $ \vec{v_1} = \left(240,~90\right) $ and $ \vec{v_2} = \left(-140,~354.29\right) $ .	2
1107	Find the difference of the vectors $ \vec{v_1} = \left(225,~10\right) $ and $ \vec{v_2} = \left(-150,~285\right) $ .	2
1108	Find the difference of the vectors $ \vec{v_1} = \left(240,~80\right) $ and $ \vec{v_2} = \left(-110,~287.53\right) $ .	2
1109	Find the difference of the vectors $ \vec{v_1} = \left(220,~10\right) $ and $ \vec{v_2} = \left(-190,~295\right) $ .	2
1110	Find the difference of the vectors $ \vec{v_1} = \left(230,~20\right) $ and $ \vec{v_2} = \left(-190,~285.273\right) $ .	2
1111	Find the difference of the vectors $ \vec{v_1} = \left(220,~30\right) $ and $ \vec{v_2} = \left(-190,~285.27\right) $ .	2
1112	Find the difference of the vectors $ \vec{v_1} = \left(-160,~80\right) $ and $ \vec{v_2} = \left(-140,~280\right) $ .	2
1113	Find the difference of the vectors $ \vec{v_1} = \left(220,~280\right) $ and $ \vec{v_2} = \left(-150,~283.1\right) $ .	2
1114	Calculate the dot product of the vectors $ \vec{v_1} = \left(4,~-1,~-5\right) $ and $ \vec{v_2} = \left(6,~-\dfrac{ 3 }{ 2 },~-\dfrac{ 15 }{ 2 }\right) $ .	2
1115	Find the difference of the vectors $ \vec{v_1} = \left(17537,~-\dfrac{ 35597 }{ 1000 }\right) $ and $ \vec{v_2} = \left(17432,~-\dfrac{ 38871 }{ 1000 }\right) $ .	2
1116	Find the sum of the vectors $ \vec{v_1} = \left(0,~3\right) $ and $ \vec{v_2} = \left(1,~-3\right) $ .	2
1117	Calculate the dot product of the vectors $ \vec{v_1} = \left(6,~0\right) $ and $ \vec{v_2} = \left(8,~4\right) $ .	2
1118	Calculate the dot product of the vectors $ \vec{v_1} = \left(4,~-1\right) $ and $ \vec{v_2} = \left(1,~4\right) $ .	2
1119	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(0,~2\right) $ .	2
1120	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(2,~13\right) $ .	2
1121	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(2,~-6\right) $ .	2
1122	Find the sum of the vectors $ \vec{v_1} = \left(2,~-6\right) $ and $ \vec{v_2} = \left(-4,~7\right) $ .	2
1123	Calculate the dot product of the vectors $ \vec{v_1} = \left(-6,~4\right) $ and $ \vec{v_2} = \left(-3,~6\right) $ .	2
1124	Find the angle between vectors $ \left(-6,~4\right)$ and $\left(-3,~6\right)$.	2
1125	Find the projection of the vector $ \vec{v_1} = \left(-6,~4\right) $ on the vector $ \vec{v_2} = \left(-3,~6\right) $.	2
1126	Determine whether the vectors $ \vec{v_1} = \left(6,~-2\right) $ and $ \vec{v_2} = \left(-1,~0\right) $ are linearly independent or dependent.	2
1127	Find the angle between vectors $ \left(6,~-2\right)$ and $\left(-1,~0\right)$.	2
1128	Find the projection of the vector $ \vec{v_1} = \left(6,~-2\right) $ on the vector $ \vec{v_2} = \left(-1,~0\right) $.	2
1129	Find the difference of the vectors $ \vec{v_1} = \left(6,~-2\right) $ and $ \vec{v_2} = \left(-1,~0\right) $ .	2
1130	Find the difference of the vectors $ \vec{v_1} = \left(12,~-4\right) $ and $ \vec{v_2} = \left(-5,~0\right) $ .	2
1131	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(34,~72\right) $ .	2
1132	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(15,~83\right) $ .	2
1133	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(50,~57\right) $ .	2
1134	Calculate the dot product of the vectors $ \vec{v_1} = \left(50,~57\right) $ and $ \vec{v_2} = \left(29,~1\right) $ .	2
1135	Find the sum of the vectors $ \vec{v_1} = \left(50,~57\right) $ and $ \vec{v_2} = \left(29,~1\right) $ .	2
1136	Determine whether the vectors $ \vec{v_1} = \left(50,~57\right) $ and $ \vec{v_2} = \left(29,~1\right) $ are linearly independent or dependent.	2
1137	Find the projection of the vector $ \vec{v_1} = \left(50,~57\right) $ on the vector $ \vec{v_2} = \left(29,~1\right) $.	2
1138	Find the angle between vectors $ \left(57,~87\right)$ and $\left(67,~1\right)$.	2
1139	Find the angle between vectors $ \left(87,~30\right)$ and $\left(41,~1\right)$.	2
1140	Find the angle between vectors $ \left(47,~40\right)$ and $\left(50,~1\right)$.	2
1141	Find the angle between vectors $ \left(40,~24\right)$ and $\left(57,~1\right)$.	2
1142	Find the angle between vectors $ \left(24,~35\right)$ and $\left(87,~1\right)$.	2
1143	Find the angle between vectors $ \left(35,~84\right)$ and $\left(30,~1\right)$.	2
1144	Calculate the dot product of the vectors $ \vec{v_1} = \left(15,~-8\right) $ and $ \vec{v_2} = \left(-3,~-4\right) $ .	2
1145	Find the angle between vectors $ \left(15,~-8\right)$ and $\left(-3,~-4\right)$.	2
1146	Find the angle between vectors $ \left(24,~40\right)$ and $\left(40,~1\right)$.	2
1147	Find the angle between vectors $ \left(40,~25\right)$ and $\left(24,~1\right)$.	2
1148	Find the angle between vectors $ \left(80,~61\right)$ and $\left(25,~1\right)$.	2
1149	Find the angle between vectors $ \left(61,~39\right)$ and $\left(24,~1\right)$.	2
1150	Find the angle between vectors $ \left(56,~30\right)$ and $\left(25,~1\right)$.	2