Vectors – Solved Problems Database
All the problems and solutions shown below were generated using the Vectors Calculator.
ID |
Problem |
Count |
1601 | Find the magnitude of the vector $ \| \vec{v} \| = \left(8,~-9\right) $ . | 2 |
1602 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-\dfrac{ 6321 }{ 5000 },~-0.0809,~-1\right) $ and $ \vec{v_2} = \left(0,~1,~0\right) $ . | 2 |
1603 | Find the sum of the vectors $ \vec{v_1} = \left(3,~1\right) $ and $ \vec{v_2} = \left(-1,~4\right) $ . | 2 |
1604 | Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~-2\right) $ . | 2 |
1605 | Find the difference of the vectors $ \vec{v_1} = \left(6,~9\right) $ and $ \vec{v_2} = \left(4,~1\right) $ . | 2 |
1606 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-9,~7\right) $ and $ \vec{v_2} = \left(10,~4\right) $ . | 2 |
1607 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-2,~4\right) $ . | 2 |
1608 | Find the magnitude of the vector $ \| \vec{v} \| = \left(10,~12\right) $ . | 2 |
1609 | Find the angle between vectors $ \left(-8,~9\right)$ and $\left(5,~-2\right)$. | 2 |
1610 | Find the magnitude of the vector $ \| \vec{v} \| = \left(3,~-4\right) $ . | 2 |
1611 | Find the sum of the vectors $ \vec{v_1} = \left(-6,~-7\right) $ and $ \vec{v_2} = \left(3,~-3\right) $ . | 2 |
1612 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-2\right) $ and $ \vec{v_2} = \left(3,~4\right) $ . | 2 |
1613 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2,~-3\right) $ . | 2 |
1614 | Find the projection of the vector $ \vec{v_1} = \left(6,~1\right) $ on the vector $ \vec{v_2} = \left(5,~0\right) $. | 2 |
1615 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-9,~7\right) $ . | 2 |
1616 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-7,~-60\right) $ . | 2 |
1617 | Find the magnitude of the vector $ \| \vec{v} \| = \left(250,~140\right) $ . | 2 |
1618 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-10,~3\right) $ . | 2 |
1619 | Calculate the dot product of the vectors $ \vec{v_1} = \left(6,~-3\right) $ and $ \vec{v_2} = \left(4,~1\right) $ . | 2 |
1620 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~3\right) $ and $ \vec{v_2} = \left(-1,~2\right) $ . | 2 |
1621 | Find the difference of the vectors $ \vec{v_1} = \left(1,~-3\right) $ and $ \vec{v_2} = \left(4,~1\right) $ . | 2 |
1622 | Find the angle between vectors $ \left(-\dfrac{ 6321 }{ 5000 },~-0.0809,~-1\right)$ and $\left(0,~1,~0\right)$. | 2 |
1623 | Find the magnitude of the vector $ \| \vec{v} \| = \left(4,~-5\right) $ . | 2 |
1624 | Calculate the dot product of the vectors $ \vec{v_1} = \left(3,~1\right) $ and $ \vec{v_2} = \left(-1,~4\right) $ . | 2 |
1625 | Find the difference of the vectors $ \vec{v_1} = \left(170,~0\right) $ and $ \vec{v_2} = \left(-85,~140\right) $ . | 2 |
1626 | Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~0\right) $ . | 2 |
1627 | Find the magnitude of the vector $ \| \vec{v} \| = \left(\dfrac{ 1 }{ 4 },~\dfrac{ 3 }{ 4 }\right) $ . | 2 |
1628 | Find the sum of the vectors $ \vec{v_1} = \left(0,~1\right) $ and $ \vec{v_2} = \left(9,~-1\right) $ . | 2 |
1629 | Find the angle between vectors $ \left(3,~-2\right)$ and $\left(-3,~7\right)$. | 2 |
1630 | Find the difference of the vectors $ \vec{v_1} = \left(3,~-4\right) $ and $ \vec{v_2} = \left(-4,~-4\right) $ . | 2 |
1631 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-7,~4\right) $ . | 2 |
1632 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2,~4\right) $ . | 2 |
1633 | Find the sum of the vectors $ \vec{v_1} = \left(5,~0\right) $ and $ \vec{v_2} = \left(10,~60\right) $ . | 2 |
1634 | Determine whether the vectors $ \vec{v_1} = \left(6,~-2\right) $ and $ \vec{v_2} = \left(-1,~0\right) $ are linearly independent or dependent. | 2 |
1635 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-7,~4\right) $ . | 2 |
1636 | Find the difference of the vectors $ \vec{v_1} = \left(0,~1\right) $ and $ \vec{v_2} = \left(0,~-1\right) $ . | 2 |
1637 | Find the difference of the vectors $ \vec{v_1} = \left(-4,~-4\right) $ and $ \vec{v_2} = \left(3,~-4\right) $ . | 2 |
1638 | Find the difference of the vectors $ \vec{v_1} = \left(0,~1,~0\right) $ and $ \vec{v_2} = \left(-\dfrac{ 6321 }{ 5000 },~-0.0809,~-1\right) $ . | 2 |
1639 | Find the angle between vectors $ \left(0,~-5,~5\right)$ and $\left(3,~1,~1\right)$. | 2 |
1640 | Determine whether the vectors $ \vec{v_1} = \left(3,~-2\right) $ and $ \vec{v_2} = \left(-1,~4\right) $ are linearly independent or dependent. | 2 |
1641 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-6,~-1\right) $ . | 2 |
1642 | Find the sum of the vectors $ \vec{v_1} = \left(4,~5\right) $ and $ \vec{v_2} = \left(5,~4\right) $ . | 2 |
1643 | Find the difference of the vectors $ \vec{v_1} = \left(-27,~21\right) $ and $ \vec{v_2} = \left(3,~-1\right) $ . | 2 |
1644 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-3,~-6\right) $ . | 2 |
1645 | Find the angle between vectors $ \left(-2,~-1\right)$ and $\left(-3,~-4\right)$. | 2 |
1646 | Find the sum of the vectors $ \vec{v_1} = \left(1,~1\right) $ and $ \vec{v_2} = \left(1,~-1\right) $ . | 2 |
1647 | Find the difference of the vectors $ \vec{v_1} = \left(2,~4\right) $ and $ \vec{v_2} = \left(-7,~8\right) $ . | 2 |
1648 | Find the magnitude of the vector $ \| \vec{v} \| = \left(3,~-2\right) $ . | 2 |
1649 | Find the projection of the vector $ \vec{v_1} = \left(2,~-5\right) $ on the vector $ \vec{v_2} = \left(-6,~-4\right) $. | 2 |
1650 | Find the projection of the vector $ \vec{v_1} = \left(\dfrac{ 4 }{ 3 },~-6\right) $ on the vector $ \vec{v_2} = \left(9,~-\dfrac{ 3 }{ 2 }\right) $. | 2 |