Vectors – Solved Problems Database
All the problems and solutions shown below were generated using the Vectors Calculator.
ID |
Problem |
Count |
6551 | Calculate the cross product of the vectors $ \vec{v_1} = \left(-3,~-1,~1\right) $ and $ \vec{v_2} = \left(2,~0,~3\right) $ . | 1 |
6552 | Calculate the cross product of the vectors $ \vec{v_1} = \left(\dfrac{ 29 }{ 10 },~\dfrac{ 129 }{ 25 },~-\dfrac{ 29 }{ 10 }\right) $ and $ \vec{v_2} = \left(-\dfrac{ 463 }{ 100 },~0,~\dfrac{ 463 }{ 100 }\right) $ . | 1 |
6553 | Find the angle between vectors $ \left(3,~1,~-1\right)$ and $\left(0,~-2,~2\right)$. | 1 |
6554 | Find the sum of the vectors $ \vec{v_1} = \left(2,~5\right) $ and $ \vec{v_2} = \left(-4,~1\right) $ . | 1 |
6555 | Find the difference of the vectors $ \vec{v_1} = \left(0,~4,~0\right) $ and $ \vec{v_2} = \left(2,~-4,~3\right) $ . | 1 |
6556 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-4,~3,~5\right) $ and $ \vec{v_2} = \left(1,~0,~-2\right) $ . | 1 |
6557 | Calculate the cross product of the vectors $ \vec{v_1} = \left(1,~-2,~3\right) $ and $ \vec{v_2} = \left(-3,~2,~3\right) $ . | 1 |
6558 | Find the sum of the vectors $ \vec{v_1} = \left(4,~2\right) $ and $ \vec{v_2} = \left(-5,~3\right) $ . | 1 |
6559 | Calculate the cross product of the vectors $ \vec{v_1} = \left(1,~2,~-1\right) $ and $ \vec{v_2} = \left(-5,~-8,~-3\right) $ . | 1 |
6560 | Find the angle between vectors $ \left(6,~2\right)$ and $\left(-4,~3\right)$. | 1 |
6561 | Calculate the cross product of the vectors $ \vec{v_1} = \left(2,~-3,~1\right) $ and $ \vec{v_2} = \left(-2,~1,~1\right) $ . | 1 |