Vectors
(the database of solved problems)
All the problems and solutions shown below were generated using the Vectors Calculator.
| ID |
Problem |
Count |
| 3251 | Find the difference of the vectors $ \vec{v_1} = \left(2,~3\right) $ and $ \vec{v_2} = \left(4,~5\right) $ . | 1 |
| 3252 | Calculate the cross product of the vectors $ \vec{v_1} = \left(-3,~4,~3\right) $ and $ \vec{v_2} = \left(4,~3,~4\right) $ . | 1 |
| 3253 | Calculate the cross product of the vectors $ \vec{v_1} = \left(2,~1,~-2\right) $ and $ \vec{v_2} = \left(1,~2,~1\right) $ . | 1 |
| 3254 | Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~-8\right) $ . | 1 |
| 3255 | Find the sum of the vectors $ \vec{v_1} = \left(1,~0,~4\right) $ and $ \vec{v_2} = \left(5,~3,~1\right) $ . | 1 |
| 3256 | Find the magnitude of the vector $ \| \vec{v} \| = \left(400,~52\right) $ . | 1 |
| 3257 | Find the projection of the vector $ \vec{v_1} = \left(2,~1,~-2\right) $ on the vector $ \vec{v_2} = \left(-1,~0,~3\right) $. | 1 |
| 3258 | Find the angle between vectors $ \left(2,~1,~-2\right)$ and $\left(-1,~0,~3\right)$. | 1 |
| 3259 | Find the angle between vectors $ \left(2,~1,~-2\right)$ and $\left(-1,~0,~3\right)$. | 1 |
| 3260 | Find the difference of the vectors $ \vec{v_1} = \left(8,~2\right) $ and $ \vec{v_2} = \left(3,~2\right) $ . | 1 |
| 3261 | Find the magnitude of the vector $ \| \vec{v} \| = \left(1,~3\right) $ . | 1 |
| 3262 | Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~-5\right) $ . | 1 |
| 3263 | Calculate the dot product of the vectors $ \vec{v_1} = \left(5,~-5\right) $ and $ \vec{v_2} = \left(-1,~4\right) $ . | 1 |
| 3264 | Find the magnitude of the vector $ \| \vec{v} \| = \left(12,~5\right) $ . | 1 |
| 3265 | Calculate the dot product of the vectors $ \vec{v_1} = \left(12,~5\right) $ and $ \vec{v_2} = \left(17,~35\right) $ . | 1 |
| 3266 | Find the angle between vectors $ \left(1,~-4\right)$ and $\left(-3,~-2\right)$. | 1 |
| 3267 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2,~5\right) $ . | 1 |
| 3268 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-5,~-2,~3\right) $ and $ \vec{v_2} = \left(3,~-5,~4\right) $ . | 1 |
| 3269 | Calculate the dot product of the vectors $ \vec{v_1} = \left(7,~-1\right) $ and $ \vec{v_2} = \left(4,~2\right) $ . | 1 |
| 3270 | Find the sum of the vectors $ \vec{v_1} = \left(6,~-90\right) $ and $ \vec{v_2} = \left(\dfrac{ 9 }{ 2 },~215\right) $ . | 1 |
| 3271 | Find the angle between vectors $ \left(6,~1,~-3\right)$ and $\left(2,~-18,~-2\right)$. | 1 |
| 3272 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-9,~9\right) $ . | 1 |
| 3273 | Find the angle between vectors $ \left(-9,~9\right)$ and $\left(2,~2\right)$. | 1 |
| 3274 | Find the angle between vectors $ \left(1,~1,~-1\right)$ and $\left(1,~-1,~-1\right)$. | 1 |
| 3275 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-2,~5,~4\right) $ . | 1 |
| 3276 | Calculate the cross product of the vectors $ \vec{v_1} = \left(1,~0,~-1\right) $ and $ \vec{v_2} = \left(1,~3,~-5\right) $ . | 1 |
| 3277 | Find the difference of the vectors $ \vec{v_1} = \left(2,~2\right) $ and $ \vec{v_2} = \left(1,~1\right) $ . | 1 |
| 3278 | Find the sum of the vectors $ \vec{v_1} = \left(-1,~2\right) $ and $ \vec{v_2} = \left(4,~-6\right) $ . | 1 |
| 3279 | Find the sum of the vectors $ \vec{v_1} = \left(-8,~-2\right) $ and $ \vec{v_2} = \left(5,~-5\right) $ . | 1 |
| 3280 | Find the difference of the vectors $ \vec{v_1} = \left(-8,~-2\right) $ and $ \vec{v_2} = \left(5,~-5\right) $ . | 1 |
| 3281 | Find the projection of the vector $ \vec{v_1} = \left(-1,~-5,~5\right) $ on the vector $ \vec{v_2} = \left(1,~-4,~4\right) $. | 1 |
| 3282 | Find the magnitude of the vector $ \| \vec{v} \| = \left(1,~0\right) $ . | 1 |
| 3283 | Find the sum of the vectors $ \vec{v_1} = \left(-4,~-1\right) $ and $ \vec{v_2} = \left(2,~4\right) $ . | 1 |
| 3284 | Find the sum of the vectors $ \vec{v_1} = \left(5,~-1\right) $ and $ \vec{v_2} = \left(3,~-7\right) $ . | 1 |
| 3285 | Find the sum of the vectors $ \vec{v_1} = \left(5,~6\right) $ and $ \vec{v_2} = \left(-7,~8\right) $ . | 1 |
| 3286 | Find the sum of the vectors $ \vec{v_1} = \left(-6,~9\right) $ and $ \vec{v_2} = \left(3,~-7\right) $ . | 1 |
| 3287 | Calculate the dot product of the vectors $ \vec{v_1} = \left(1,~2\right) $ and $ \vec{v_2} = \left(-6,~3\right) $ . | 1 |
| 3288 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-4,~3\right) $ and $ \vec{v_2} = \left(8,~-6\right) $ . | 1 |
| 3289 | Find the sum of the vectors $ \vec{v_1} = \left(2,~-6,~4\right) $ and $ \vec{v_2} = \left(0,~2,~-1\right) $ . | 1 |
| 3290 | Find the sum of the vectors $ \vec{v_1} = \left(4,~-3\right) $ and $ \vec{v_2} = \left(2,~-9\right) $ . | 1 |
| 3291 | Find the sum of the vectors $ \vec{v_1} = \left(-9,~2\right) $ and $ \vec{v_2} = \left(2,~-2\right) $ . | 1 |
| 3292 | Calculate the cross product of the vectors $ \vec{v_1} = \left(3,~3,~10\right) $ and $ \vec{v_2} = \left(7,~5,~0\right) $ . | 1 |
| 3293 | Calculate the dot product of the vectors $ \vec{v_1} = \left(1,~1,~1\right) $ and $ \vec{v_2} = \left(2,~1,~1\right) $ . | 1 |
| 3294 | Find the magnitude of the vector $ \| \vec{v} \| = \left(\dfrac{ 433 }{ 125 },~2\right) $ . | 1 |
| 3295 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2,~-4\right) $ . | 1 |
| 3296 | Find the sum of the vectors $ \vec{v_1} = \left(13,~3\right) $ and $ \vec{v_2} = \left(-7,~38\right) $ . | 1 |
| 3297 | Find the difference of the vectors $ \vec{v_1} = \left(1,~2,~3\right) $ and $ \vec{v_2} = \left(2,~2,~-1\right) $ . | 1 |
| 3298 | Calculate the cross product of the vectors $ \vec{v_1} = \left(4,~1,~5\right) $ and $ \vec{v_2} = \left(2,~3,~2\right) $ . | 1 |
| 3299 | Find the projection of the vector $ \vec{v_1} = \left(2,~3,~2\right) $ on the vector $ \vec{v_2} = \left(4,~1,~5\right) $. | 1 |
| 3300 | Find the sum of the vectors $ \vec{v_1} = \left(2,~3,~2\right) $ and $ \vec{v_2} = \left(4,~1,~5\right) $ . | 1 |
