Vectors – Solved Problems Database
All the problems and solutions shown below were generated using the Vectors Calculator.
ID |
Problem |
Count |
1651 | Find the sum of the vectors $ \vec{v_1} = \left(6,~-2\right) $ and $ \vec{v_2} = \left(3,~2\right) $ . | 2 |
1652 | Find the sum of the vectors $ \vec{v_1} = \left(7,~1\right) $ and $ \vec{v_2} = \left(-5,~-3\right) $ . | 2 |
1653 | Find the angle between vectors $ \left(6,~-2\right)$ and $\left(-1,~0\right)$. | 2 |
1654 | Find the difference of the vectors $ \vec{v_1} = \left(4,~5\right) $ and $ \vec{v_2} = \left(5,~4\right) $ . | 2 |
1655 | Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~4\right) $ . | 2 |
1656 | Find the angle between vectors $ \left(-3,~-6\right)$ and $\left(-5,~2\right)$. | 2 |
1657 | Find the magnitude of the vector $ \| \vec{v} \| = \left(4,~-1\right) $ . | 2 |
1658 | Find the sum of the vectors $ \vec{v_1} = \left(7,~-5\right) $ and $ \vec{v_2} = \left(-3,~-4\right) $ . | 2 |
1659 | Find the difference of the vectors $ \vec{v_1} = \left(230,~20\right) $ and $ \vec{v_2} = \left(-190,~285.273\right) $ . | 2 |
1660 | Find the projection of the vector $ \vec{v_1} = \left(6,~-2\right) $ on the vector $ \vec{v_2} = \left(-1,~0\right) $. | 2 |
1661 | Find the angle between vectors $ \left(-7,~4\right)$ and $\left(-1,~-4\right)$. | 2 |
1662 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-4,~1\right) $ and $ \vec{v_2} = \left(5,~-4\right) $ . | 2 |
1663 | Find the magnitude of the vector $ \| \vec{v} \| = \left(7,~1\right) $ . | 2 |
1664 | Find the projection of the vector $ \vec{v_1} = \left(0,~1,~0\right) $ on the vector $ \vec{v_2} = \left(-\dfrac{ 6321 }{ 5000 },~-0.0809,~-1\right) $. | 2 |
1665 | Find the sum of the vectors $ \vec{v_1} = \left(2,~4\right) $ and $ \vec{v_2} = \left(-7,~8\right) $ . | 2 |
1666 | Find the difference of the vectors $ \vec{v_1} = \left(24,~10\right) $ and $ \vec{v_2} = \left(-15,~20\right) $ . | 2 |
1667 | Calculate the dot product of the vectors $ \vec{v_1} = \left(8,~2\right) $ and $ \vec{v_2} = \left(4,~-1\right) $ . | 2 |
1668 | Find the angle between vectors $ \left(\dfrac{ 717 }{ 500 },~\dfrac{ 309 }{ 1000 }\right)$ and $\left(-\dfrac{ 19 }{ 125 },~\dfrac{ 887 }{ 1000 }\right)$. | 2 |
1669 | Find the difference of the vectors $ \vec{v_1} = \left(6,~-2\right) $ and $ \vec{v_2} = \left(-1,~0\right) $ . | 2 |
1670 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-5,~-3\right) $ . | 2 |
1671 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2,~-\dfrac{ 6 }{ 5 }\right) $ . | 2 |
1672 | Calculate the cross product of the vectors $ \vec{v_1} = \left(2,~-1,~-2\right) $ and $ \vec{v_2} = \left(1,~2,~-2\right) $ . | 2 |
1673 | Find the difference of the vectors $ \vec{v_1} = \left(10,~12\right) $ and $ \vec{v_2} = \left(4,~20\right) $ . | 2 |
1674 | Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~8\right) $ . | 2 |
1675 | Find the sum of the vectors $ \vec{v_1} = \left(6,~0\right) $ and $ \vec{v_2} = \left(0,~0\right) $ . | 2 |
1676 | Find the angle between vectors $ \left(-2,~-5\right)$ and $\left(-5,~0\right)$. | 2 |
1677 | Find the magnitude of the vector $ \| \vec{v} \| = \left(0,~0\right) $ . | 2 |
1678 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-4,~0\right) $ . | 2 |
1679 | Calculate the dot product of the vectors $ \vec{v_1} = \left(4,~6\right) $ and $ \vec{v_2} = \left(10,~1\right) $ . | 2 |
1680 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-4,~7\right) $ . | 2 |
1681 | Calculate the dot product of the vectors $ \vec{v_1} = \left(8,~1\right) $ and $ \vec{v_2} = \left(8,~1\right) $ . | 2 |
1682 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-4,~12\right) $ . | 2 |
1683 | Find the difference of the vectors $ \vec{v_1} = \left(1,~1\right) $ and $ \vec{v_2} = \left(2,~4\right) $ . | 2 |
1684 | Find the angle between vectors $ \left(-2,~-5\right)$ and $\left(-5,~4\right)$. | 2 |
1685 | Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~-12\right) $ . | 2 |
1686 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-3,~-4\right) $ . | 2 |
1687 | Find the angle between vectors $ \left(-2,~-4\right)$ and $\left(4,~8\right)$. | 2 |
1688 | Determine whether the vectors $ \vec{v_1} = \left(-0.3333,~-1.5\right) $ and $ \vec{v_2} = \left(2,~9\right) $ are linearly independent or dependent. | 2 |
1689 | Find the difference of the vectors $ \vec{v_1} = \left(4,~-10\right) $ and $ \vec{v_2} = \left(-9,~-6\right) $ . | 2 |
1690 | Find the magnitude of the vector $ \| \vec{v} \| = \left(4,~3\right) $ . | 2 |
1691 | Find the difference of the vectors $ \vec{v_1} = \left(12,~-4\right) $ and $ \vec{v_2} = \left(-5,~0\right) $ . | 2 |
1692 | Find the angle between vectors $ \left(-6,~3\right)$ and $\left(3,~5\right)$. | 2 |
1693 | Calculate the dot product of the vectors $ \vec{v_1} = \left(\dfrac{ 3 }{ 5 },~\dfrac{ 2 }{ 5 }\right) $ and $ \vec{v_2} = \left(\dfrac{ 3 }{ 10 },~\dfrac{ 7 }{ 10 }\right) $ . | 2 |
1694 | Calculate the dot product of the vectors $ \vec{v_1} = \left(6,~-2\right) $ and $ \vec{v_2} = \left(-3,~-1\right) $ . | 2 |
1695 | Find the sum of the vectors $ \vec{v_1} = \left(-4,~12\right) $ and $ \vec{v_2} = \left(6,~8\right) $ . | 2 |
1696 | Find the difference of the vectors $ \vec{v_1} = \left(4,~-5\right) $ and $ \vec{v_2} = \left(-7,~4\right) $ . | 2 |
1697 | Find the difference of the vectors $ \vec{v_1} = \left(-5,~12\right) $ and $ \vec{v_2} = \left(9,~-1\right) $ . | 2 |
1698 | Find the angle between vectors $ \left(4,~6\right)$ and $\left(10,~1\right)$. | 2 |
1699 | Find the difference of the vectors $ \vec{v_1} = \left(6,~8\right) $ and $ \vec{v_2} = \left(5,~0\right) $ . | 2 |
1700 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-4,~-3\right) $ and $ \vec{v_2} = \left(-5,~5\right) $ . | 2 |