Vectors
(the database of solved problems)
All the problems and solutions shown below were generated using the Vectors Calculator.
| ID |
Problem |
Count |
| 2401 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-2,~1\right) $ . | 1 |
| 2402 | Find the magnitude of the vector $ \| \vec{v} \| = \left(301,~90\right) $ . | 1 |
| 2403 | Find the difference of the vectors $ \vec{v_1} = \left(-8,~2\right) $ and $ \vec{v_2} = \left(9,~-18\right) $ . | 1 |
| 2404 | Calculate the dot product of the vectors $ \vec{v_1} = \left(9,~1\right) $ and $ \vec{v_2} = \left(-8,~7\right) $ . | 1 |
| 2405 | Calculate the dot product of the vectors $ \vec{v_1} = \left(3,~1,~2\right) $ and $ \vec{v_2} = \left(2,~4,~2\right) $ . | 1 |
| 2406 | Calculate the cross product of the vectors $ \vec{v_1} = \left(5,~3,~1\right) $ and $ \vec{v_2} = \left(5,~3,~1\right) $ . | 1 |
| 2407 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2,~-2\right) $ . | 1 |
| 2408 | Find the magnitude of the vector $ \| \vec{v} \| = \left(1,~4,~1\right) $ . | 1 |
| 2409 | Find the magnitude of the vector $ \| \vec{v} \| = \left(4,~2,~-1\right) $ . | 1 |
| 2410 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2,~-5\right) $ . | 1 |
| 2411 | Find the angle between vectors $ \left(1,~2\right)$ and $\left(6,~-1\right)$. | 1 |
| 2412 | Calculate the dot product of the vectors $ \vec{v_1} = \left(7,~1\right) $ and $ \vec{v_2} = \left(1,~7\right) $ . | 1 |
| 2413 | Find the magnitude of the vector $ \| \vec{v} \| = \left(3,~1,~2\right) $ . | 1 |
| 2414 | Find the angle between vectors $ \left(-3,~-1\right)$ and $\left(3,~3\right)$. | 1 |
| 2415 | Find the magnitude of the vector $ \| \vec{v} \| = \left(0,~9\right) $ . | 1 |
| 2416 | Find the sum of the vectors $ \vec{v_1} = \left(2,~-5\right) $ and $ \vec{v_2} = \left(1,~-7\right) $ . | 1 |
| 2417 | Find the difference of the vectors $ \vec{v_1} = \left(4851271.3742,~1291753.5681,~517172.499\right) $ and $ \vec{v_2} = \left(14184194,~11081905,~0\right) $ . | 1 |
| 2418 | Find the sum of the vectors $ \vec{v_1} = \left(-5,~2\right) $ and $ \vec{v_2} = \left(-4,~4\right) $ . | 1 |
| 2419 | Find the magnitude of the vector $ \| \vec{v} \| = \left(3130,~108\right) $ . | 1 |
| 2420 | Find the angle between vectors $ \left(3130,~108\right)$ and $\left(2860,~168\right)$. | 1 |
| 2421 | Find the angle between vectors $ \left(11,~4\right)$ and $\left(4,~9\right)$. | 1 |
| 2422 | Find the angle between vectors $ \left(14,~5\right)$ and $\left(2,~6\right)$. | 1 |
| 2423 | Find the angle between vectors $ \left(9,~3\right)$ and $\left(2,~4\right)$. | 1 |
| 2424 | Find the angle between vectors $ \left(8,~5\right)$ and $\left(2,~3\right)$. | 1 |
| 2425 | Find the angle between vectors $ \left(6,~3\right)$ and $\left(3,~2\right)$. | 1 |
| 2426 | Find the angle between vectors $ \left(15,~10\right)$ and $\left(4,~2\right)$. | 1 |
| 2427 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-6,~-7\right) $ . | 1 |
| 2428 | Find the angle between vectors $ \left(10,~7\right)$ and $\left(3,~2\right)$. | 1 |
| 2429 | Find the angle between vectors $ \left(17,~7\right)$ and $\left(4,~4\right)$. | 1 |
| 2430 | Find the angle between vectors $ \left(7,~5\right)$ and $\left(3,~2\right)$. | 1 |
| 2431 | Find the angle between vectors $ \left(10,~7\right)$ and $\left(4,~5\right)$. | 1 |
| 2432 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-2,~4\right) $ . | 1 |
| 2433 | Calculate the dot product of the vectors $ \vec{v_1} = \left(3,~2,~1\right) $ and $ \vec{v_2} = \left(-1,~-1,~3\right) $ . | 1 |
| 2434 | Find the angle between vectors $ \left(8,~-5\right)$ and $\left(3,~-1\right)$. | 1 |
| 2435 | Find the magnitude of the vector $ \| \vec{v} \| = \left(4,~-8\right) $ . | 1 |
| 2436 | Find the projection of the vector $ \vec{v_1} = \left(4,~-8\right) $ on the vector $ \vec{v_2} = \left(-2,~4\right) $. | 1 |
| 2437 | Find the magnitude of the vector $ \| \vec{v} \| = \left(3,~-2\right) $ . | 1 |
| 2438 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2,~-3\right) $ . | 1 |
| 2439 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-7,~1\right) $ . | 1 |
| 2440 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-2,~8\right) $ . | 1 |
| 2441 | Find the sum of the vectors $ \vec{v_1} = \left(-2,~-2\right) $ and $ \vec{v_2} = \left(-5,~3\right) $ . | 1 |
| 2442 | Find the sum of the vectors $ \vec{v_1} = \left(-4,~-5\right) $ and $ \vec{v_2} = \left(1,~3\right) $ . | 1 |
| 2443 | Find the sum of the vectors $ \vec{v_1} = \left(-4,~-5\right) $ and $ \vec{v_2} = \left(-1,~4\right) $ . | 1 |
| 2444 | Find the sum of the vectors $ \vec{v_1} = \left(-3,~-3\right) $ and $ \vec{v_2} = \left(-5,~5\right) $ . | 1 |
| 2445 | Find the sum of the vectors $ \vec{v_1} = \left(5,~5\right) $ and $ \vec{v_2} = \left(-2,~5\right) $ . | 1 |
| 2446 | Find the sum of the vectors $ \vec{v_1} = \left(8,~-4\right) $ and $ \vec{v_2} = \left(1,~3\right) $ . | 1 |
| 2447 | Find the sum of the vectors $ \vec{v_1} = \left(-6,~-7\right) $ and $ \vec{v_2} = \left(8,~2\right) $ . | 1 |
| 2448 | Find the sum of the vectors $ \vec{v_1} = \left(2,~2\right) $ and $ \vec{v_2} = \left(5,~-4\right) $ . | 1 |
| 2449 | Find the sum of the vectors $ \vec{v_1} = \left(2,~-4\right) $ and $ \vec{v_2} = \left(7,~-5\right) $ . | 1 |
| 2450 | Find the sum of the vectors $ \vec{v_1} = \left(1,~-4\right) $ and $ \vec{v_2} = \left(6,~-2\right) $ . | 1 |
