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
1301	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-9,~-2\right) $ .	2
1302	Find the angle between vectors $ \left(-9,~-2\right)$ and $\left(-5,~-7\right)$.	2
1303	Find the sum of the vectors $ \vec{v_1} = \left(-2,~4\right) $ and $ \vec{v_2} = \left(6,~4\right) $ .	2
1304	Find the sum of the vectors $ \vec{v_1} = \left(-1,~3\right) $ and $ \vec{v_2} = \left(4,~-4\right) $ .	2
1305	Calculate the dot product of the vectors $ \vec{v_1} = \left(3,~-2\right) $ and $ \vec{v_2} = \left(-3,~2\right) $ .	2
1306	Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-2\right) $ and $ \vec{v_2} = \left(-3,~4\right) $ .	2
1307	Find the angle between vectors $ \left(-15,~-8\right)$ and $\left(-1,~3\right)$.	2
1308	Find the angle between vectors $ \left(-4,~3\right)$ and $\left(2,~5\right)$.	2
1309	Find the angle between vectors $ \left(-8,~\sqrt{ 3 }\right)$ and $\left(10,~0\right)$.	2
1310	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-8,~\sqrt{ 3 }\right) $ .	2
1311	Find the angle between vectors $ \left(3,~4\right)$ and $\left(-3,~7\right)$.	2
1312	Find the projection of the vector $ \vec{v_1} = \left(-5,~-1\right) $ on the vector $ \vec{v_2} = \left(1,~1\right) $.	2
1313	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(3,~3\right) $ .	2
1314	Calculate the dot product of the vectors $ \vec{v_1} = \left(0,~-34.47,~-28.93\right) $ and $ \vec{v_2} = \left(0,~0.42,~0.91\right) $ .	2
1315	Calculate the dot product of the vectors $ \vec{v_1} = \left(0.1667,~0.125\right) $ and $ \vec{v_2} = \left(0.8333,~0.875\right) $ .	2
1316	Find the difference of the vectors $ \vec{v_1} = \left(-7,~-49\right) $ and $ \vec{v_2} = \left(-48,~-72\right) $ .	2
1317	Calculate the dot product of the vectors $ \vec{v_1} = \left(1,~2\right) $ and $ \vec{v_2} = \left(-2,~5\right) $ .	2
1318	Calculate the dot product of the vectors $ \vec{v_1} = \left(1,~8\right) $ and $ \vec{v_2} = \left(7,~5\right) $ .	2
1319	Find the angle between vectors $ \left(0,~2,~14\right)$ and $\left(0,~-2,~10\right)$.	2
1320	Calculate the cross product of the vectors $ \vec{v_1} = \left(1,~-1,~0\right) $ and $ \vec{v_2} = \left(0,~1,~-1\right) $ .	2
1321	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-5,~3\right) $ .	2
1322	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-4,~-3\right) $ .	2
1323	Find the angle between vectors $ \left(-9,~5\right)$ and $\left(-1,~7\right)$.	2
1324	Calculate the dot product of the vectors $ \vec{v_1} = \left(-13,~9\right) $ and $ \vec{v_2} = \left(14,~-6\right) $ .	2
1325	Find the angle between vectors $ \left(-5,~7\right)$ and $\left(-6,~4\right)$.	2
1326	Calculate the dot product of the vectors $ \vec{v_1} = \left(-5,~7\right) $ and $ \vec{v_2} = \left(-6,~4\right) $ .	2
1327	Calculate the cross product of the vectors $ \vec{v_1} = \left(1,~-1,~1\right) $ and $ \vec{v_2} = \left(-1,~1,~0\right) $ .	2
1328	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-3,~-1\right) $ .	2
1329	Find the difference of the vectors $ \vec{v_1} = \left(-5,~-3\right) $ and $ \vec{v_2} = \left(3,~-8\right) $ .	2
1330	Find the difference of the vectors $ \vec{v_1} = \left(-50,~90\right) $ and $ \vec{v_2} = \left(81,~-63\right) $ .	2
1331	Find the difference of the vectors $ \vec{v_1} = \left(-45,~81\right) $ and $ \vec{v_2} = \left(-36,~28\right) $ .	2
1332	Find the difference of the vectors $ \vec{v_1} = \left(-45,~81\right) $ and $ \vec{v_2} = \left(36,~-28\right) $ .	2
1333	Find the sum of the vectors $ \vec{v_1} = \left(-20,~36\right) $ and $ \vec{v_2} = \left(63,~-49\right) $ .	2
1334	Find the sum of the vectors $ \vec{v_1} = \left(-50,~90\right) $ and $ \vec{v_2} = \left(81,~-63\right) $ .	2
1335	Find the sum of the vectors $ \vec{v_1} = \left(50,~90\right) $ and $ \vec{v_2} = \left(81,~-63\right) $ .	2
1336	Find the sum of the vectors $ \vec{v_1} = \left(3,~0\right) $ and $ \vec{v_2} = \left(0,~6\right) $ .	2
1337	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(5,~3\right) $ .	2
1338	Find the projection of the vector $ \vec{v_1} = \left(0,~2\right) $ on the vector $ \vec{v_2} = \left(5,~-3\right) $.	2
1339	Calculate the dot product of the vectors $ \vec{v_1} = \left(-8,~\sqrt{ 7 }\right) $ and $ \vec{v_2} = \left(64,~36\right) $ .	2
1340	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-8,~\sqrt{ 7 }\right) $ .	2
1341	Calculate the cross product of the vectors $ \vec{v_1} = \left(1,~1,~0\right) $ and $ \vec{v_2} = \left(-1,~1,~2\right) $ .	2
1342	Find the projection of the vector $ \vec{v_1} = \left(3,~-5\right) $ on the vector $ \vec{v_2} = \left(-4,~6\right) $.	2
1343	Find the angle between vectors $ \left(-3,~-4\right)$ and $\left(6,~-8\right)$.	2
1344	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-3,~-4\right) $ .	2
1345	Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~5\right) $ and $ \vec{v_2} = \left(-1,~3\right) $ .	2
1346	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(2,~5\right) $ .	2
1347	Find the sum of the vectors $ \vec{v_1} = \left(-7,~-3\right) $ and $ \vec{v_2} = \left(-5,~7\right) $ .	2
1348	Find the angle between vectors $ \left(2,~1\right)$ and $\left(1,~-2\right)$.	2
1349	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(6,~6\right) $ .	2
1350	Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-1\right) $ and $ \vec{v_2} = \left(-3,~6\right) $ .	2