Vectors
(the database of solved problems)
All the problems and solutions shown below were generated using the Vectors Calculator.
| ID |
Problem |
Count |
| 3651 | Find the angle between vectors $ \left(632,~130\right)$ and $\left(719,~240\right)$. | 1 |
| 3652 | Find the sum of the vectors $ \vec{v_1} = \left(632,~130\right) $ and $ \vec{v_2} = \left(719,~240\right) $ . | 1 |
| 3653 | Calculate the dot product of the vectors $ \vec{v_1} = \left(4,~-7\right) $ and $ \vec{v_2} = \left(7,~6\right) $ . | 1 |
| 3654 | Find the angle between vectors $ \left(9,~1\right)$ and $\left(10,~9\right)$. | 1 |
| 3655 | Find the angle between vectors $ \left(0,~6\right)$ and $\left(-7,~4\right)$. | 1 |
| 3656 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~5\right) $ and $ \vec{v_2} = \left(4,~1\right) $ . | 1 |
| 3657 | Find the magnitude of the vector $ \| \vec{v} \| = \left(45,~50\right) $ . | 1 |
| 3658 | Calculate the dot product of the vectors $ \vec{v_1} = \left(4,~-9\right) $ and $ \vec{v_2} = \left(6,~5\right) $ . | 1 |
| 3659 | Calculate the cross product of the vectors $ \vec{v_1} = \left(0,~11,~0\right) $ and $ \vec{v_2} = \left(-4,~3,~0\right) $ . | 1 |
| 3660 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-8,~7\right) $ . | 1 |
| 3661 | Calculate the cross product of the vectors $ \vec{v_1} = \left(1,~5,~2\right) $ and $ \vec{v_2} = \left(3,~-2,~1\right) $ . | 1 |
| 3662 | Find the projection of the vector $ \vec{v_1} = \left(2,~1,~-1\right) $ on the vector $ \vec{v_2} = \left(1,~5,~2\right) $. | 1 |
| 3663 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-10,~-21,~4\right) $ . | 1 |
| 3664 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-10,~-29,~-4\right) $ . | 1 |
| 3665 | Calculate the cross product of the vectors $ \vec{v_1} = \left(1,~0,~0\right) $ and $ \vec{v_2} = \left(0,~0,~0\right) $ . | 1 |
| 3666 | Calculate the cross product of the vectors $ \vec{v_1} = \left(1,~0,~-2\right) $ and $ \vec{v_2} = \left(-1,~0,~3\right) $ . | 1 |
| 3667 | Find the difference of the vectors $ \vec{v_1} = \left(1,~-1,~0\right) $ and $ \vec{v_2} = \left(0,~1,~0\right) $ . | 1 |
| 3668 | Calculate the cross product of the vectors $ \vec{v_1} = \left(1,~2,~3\right) $ and $ \vec{v_2} = \left(3,~4,~5\right) $ . | 1 |
| 3669 | Calculate the cross product of the vectors $ \vec{v_1} = \left(3,~2,~-7\right) $ and $ \vec{v_2} = \left(5,~6,~-3\right) $ . | 1 |
| 3670 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-4213,~4740,~164\right) $ and $ \vec{v_2} = \left(-2046,~6042,~164\right) $ . | 1 |
| 3671 | Find the sum of the vectors $ \vec{v_1} = \left(-4,~-6\right) $ and $ \vec{v_2} = \left(-1,~-2\right) $ . | 1 |
| 3672 | Find the difference of the vectors $ \vec{v_1} = \left(-9,~9\right) $ and $ \vec{v_2} = \left(4,~6\right) $ . | 1 |
| 3673 | Find the sum of the vectors $ \vec{v_1} = \left(8,~5\right) $ and $ \vec{v_2} = \left(-9,~-5\right) $ . | 1 |
| 3674 | Calculate the cross product of the vectors $ \vec{v_1} = \left(2,~-1,~3\right) $ and $ \vec{v_2} = \left(2,~4,~-1\right) $ . | 1 |
| 3675 | Calculate the cross product of the vectors $ \vec{v_1} = \left(2,~-1,~3\right) $ and $ \vec{v_2} = \left(-2,~-14,~9\right) $ . | 1 |
| 3676 | Calculate the cross product of the vectors $ \vec{v_1} = \left(33,~-24,~-30\right) $ and $ \vec{v_2} = \left(-11,~8,~10\right) $ . | 1 |
| 3677 | Find the difference of the vectors $ \vec{v_1} = \left(10,~10\right) $ and $ \vec{v_2} = \left(15,~20\right) $ . | 1 |
| 3678 | Calculate the cross product of the vectors $ \vec{v_1} = \left(1,~-1,~1\right) $ and $ \vec{v_2} = \left(1,~2,~-1\right) $ . | 1 |
| 3679 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-3,~1\right) $ and $ \vec{v_2} = \left(22,~9,~17\right) $ . | 1 |
| 3680 | Calculate the dot product of the vectors $ \vec{v_1} = \left(3,~2,~-1\right) $ and $ \vec{v_2} = \left(-39,~44,~-29\right) $ . | 1 |
| 3681 | Calculate the dot product of the vectors $ \vec{v_1} = \left(3,~-3,~1\right) $ and $ \vec{v_2} = \left(17,~28,~33\right) $ . | 1 |
| 3682 | Calculate the dot product of the vectors $ \vec{v_1} = \left(17,~10,~5\right) $ and $ \vec{v_2} = \left(0,~1,~-2\right) $ . | 1 |
| 3683 | Calculate the dot product of the vectors $ \vec{v_1} = \left(1,~2,~-2\right) $ and $ \vec{v_2} = \left(-2,~23,~22\right) $ . | 1 |
| 3684 | Calculate the dot product of the vectors $ \vec{v_1} = \left(0,~0,~1\right) $ and $ \vec{v_2} = \left(4,~1,~0\right) $ . | 1 |
| 3685 | Calculate the dot product of the vectors $ \vec{v_1} = \left(1,~-3,~-2\right) $ and $ \vec{v_2} = \left(1,~-7,~11\right) $ . | 1 |
| 3686 | Calculate the dot product of the vectors $ \vec{v_1} = \left(0,~0,~1\right) $ and $ \vec{v_2} = \left(1,~1,~0\right) $ . | 1 |
| 3687 | Calculate the dot product of the vectors $ \vec{v_1} = \left(0,~0,~1\right) $ and $ \vec{v_2} = \left(-2,~-4,~0\right) $ . | 1 |
| 3688 | Calculate the dot product of the vectors $ \vec{v_1} = \left(1,~1,~0\right) $ and $ \vec{v_2} = \left(-2,~-4,~0\right) $ . | 1 |
| 3689 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~1,~-3\right) $ and $ \vec{v_2} = \left(-4,~5,~-1\right) $ . | 1 |
| 3690 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~1,~-3\right) $ and $ \vec{v_2} = \left(1,~1,~1\right) $ . | 1 |
| 3691 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-4,~5,~-1\right) $ and $ \vec{v_2} = \left(1,~1,~1\right) $ . | 1 |
| 3692 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-10,~-1\right) $ and $ \vec{v_2} = \left(3,~1,~-4\right) $ . | 1 |
| 3693 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-10,~-1\right) $ and $ \vec{v_2} = \left(1,~9,~3\right) $ . | 1 |
| 3694 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-2,~-3\right) $ and $ \vec{v_2} = \left(3,~-3,~4\right) $ . | 1 |
| 3695 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-2,~-3\right) $ and $ \vec{v_2} = \left(-8,~10,~12\right) $ . | 1 |
| 3696 | Find the angle between vectors $ \left(1,~2,~-1\right)$ and $\left(2,~1,~1\right)$. | 1 |
| 3697 | Find the angle between vectors $ \left(1,~2,~-2\right)$ and $\left(2,~1,~1\right)$. | 1 |
| 3698 | Find the angle between vectors $ \left(1,~-1,~1\right)$ and $\left(-1,~0,~1\right)$. | 1 |
| 3699 | Find the magnitude of the vector $ \| \vec{v} \| = \left(192,~24\right) $ . | 1 |
| 3700 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-9\right) $ and $ \vec{v_2} = \left(-3,~6\right) $ . | 1 |
