Vectors – Solved Problems Database
All the problems and solutions shown below were generated using the Vectors Calculator.
ID |
Problem |
Count |
751 | Find the sum of the vectors $ \vec{v_1} = \left(-1,~4\right) $ and $ \vec{v_2} = \left(3,~-2\right) $ . | 2 |
752 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-3,~6\right) $ . | 2 |
753 | Find the magnitude of the vector $ \| \vec{v} \| = \left(\dfrac{ 7 }{ 10 },~\dfrac{ 3 }{ 10 }\right) $ . | 2 |
754 | Find the difference of the vectors $ \vec{v_1} = \left(210,~40\right) $ and $ \vec{v_2} = \left(-190,~-231.43\right) $ . | 2 |
755 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-23 \sqrt{ 2 },~-23 \sqrt{ 2 }\right) $ . | 2 |
756 | Find the difference of the vectors $ \vec{v_1} = \left(0,~-3\right) $ and $ \vec{v_2} = \left(1,~-1\right) $ . | 2 |
757 | Find the sum of the vectors $ \vec{v_1} = \left(1,~4\right) $ and $ \vec{v_2} = \left(3,~-1\right) $ . | 2 |
758 | Find the angle between vectors $ \left(3,~5\right)$ and $\left(5,~3\right)$. | 2 |
759 | Find the magnitude of the vector $ \| \vec{v} \| = \left(3,~4\right) $ . | 2 |
760 | Find the sum of the vectors $ \vec{v_1} = \left(3,~4\right) $ and $ \vec{v_2} = \left(-7,~-2\right) $ . | 2 |
761 | Find the angle between vectors $ \left(8,~-6\right)$ and $\left(-8,~-5\right)$. | 2 |
762 | Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~11\right) $ . | 2 |
763 | Find the magnitude of the vector $ \| \vec{v} \| = \left(\dfrac{ 43 }{ 5 },~-\dfrac{ 13 }{ 2 }\right) $ . | 2 |
764 | Find the angle between vectors $ \left(4,~6\right)$ and $\left(7,~0\right)$. | 2 |
765 | Find the sum of the vectors $ \vec{v_1} = \left(6,~18\right) $ and $ \vec{v_2} = \left(-2,~4\right) $ . | 2 |
766 | Calculate the dot product of the vectors $ \vec{v_1} = \left(3,~3\right) $ and $ \vec{v_2} = \left(-4,~2\right) $ . | 2 |
767 | Find the difference of the vectors $ \vec{v_1} = \left(210,~40\right) $ and $ \vec{v_2} = \left(-190,~321.43\right) $ . | 2 |
768 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~5\right) $ and $ \vec{v_2} = \left(-1,~3\right) $ . | 2 |
769 | Find the difference of the vectors $ \vec{v_1} = \left(9,~-2\right) $ and $ \vec{v_2} = \left(4,~7\right) $ . | 2 |
770 | Find the magnitude of the vector $ \| \vec{v} \| = \left(0,~-40,~0\right) $ . | 2 |
771 | Calculate the dot product of the vectors $ \vec{v_1} = \left(1,~4\right) $ and $ \vec{v_2} = \left(3,~-1\right) $ . | 2 |
772 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2000,~45\right) $ . | 2 |
773 | Calculate the dot product of the vectors $ \vec{v_1} = \left(0,~6\right) $ and $ \vec{v_2} = \left(2,~3\right) $ . | 2 |
774 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~4\right) $ and $ \vec{v_2} = \left(-3,~3\right) $ . | 2 |
775 | Find the magnitude of the vector $ \| \vec{v} \| = \left(30,~0\right) $ . | 2 |
776 | Find the difference of the vectors $ \vec{v_1} = \left(1,~-1\right) $ and $ \vec{v_2} = \left(-4,~-1\right) $ . | 2 |
777 | Find the angle between vectors $ \left(2,~-1\right)$ and $\left(2,~3\right)$. | 2 |
778 | Calculate the cross product of the vectors $ \vec{v_1} = \left(2,~3,~0\right) $ and $ \vec{v_2} = \left(2,~0,~-1\right) $ . | 2 |
779 | Find the difference of the vectors $ \vec{v_1} = \left(0,~1\right) $ and $ \vec{v_2} = \left(-2,~0\right) $ . | 2 |
780 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2,~5\right) $ . | 2 |
781 | Find the sum of the vectors $ \vec{v_1} = \left(16,~0\right) $ and $ \vec{v_2} = \left(0,~-14\right) $ . | 2 |
782 | Find the magnitude of the vector $ \| \vec{v} \| = \left(1,~3\right) $ . | 2 |
783 | Find the difference of the vectors $ \vec{v_1} = \left(4,~-3\right) $ and $ \vec{v_2} = \left(-5,~0\right) $ . | 2 |
784 | Find the angle between vectors $ \left(-6,~-3\right)$ and $\left(-8,~4\right)$. | 2 |
785 | Find the magnitude of the vector $ \| \vec{v} \| = \left(4,~1,~-3\right) $ . | 2 |
786 | Find the magnitude of the vector $ \| \vec{v} \| = \left(295.4,~52.1\right) $ . | 2 |
787 | Find the sum of the vectors $ \vec{v_1} = \left(10,~0\right) $ and $ \vec{v_2} = \left(-\dfrac{ 143 }{ 10 },~-\dfrac{ 117 }{ 50 }\right) $ . | 2 |
788 | Find the angle between vectors $ \left(1,~3\right)$ and $\left(3,~-4\right)$. | 2 |
789 | Calculate the dot product of the vectors $ \vec{v_1} = \left(8,~5\right) $ and $ \vec{v_2} = \left(5,~8\right) $ . | 2 |
790 | Find the difference of the vectors $ \vec{v_1} = \left(3,~1\right) $ and $ \vec{v_2} = \left(-2,~-2\right) $ . | 2 |
791 | Find the sum of the vectors $ \vec{v_1} = \left(-1,~3\right) $ and $ \vec{v_2} = \left(4,~2\right) $ . | 2 |
792 | Determine whether the vectors $ \vec{v_1} = \left(1,~-5,~0\right) $, $ \vec{v_2} = \left(2,~-4,~3\right) $ and $ \vec{v_3} = \left(0,~-3,~-2\right)$ are linearly independent or dependent. | 2 |
793 | Find the difference of the vectors $ \vec{v_1} = \left(3,~-5\right) $ and $ \vec{v_2} = \left(-2,~3\right) $ . | 2 |
794 | Find the difference of the vectors $ \vec{v_1} = \left(30,~24\right) $ and $ \vec{v_2} = \left(-54,~-18\right) $ . | 2 |
795 | Find the difference of the vectors $ \vec{v_1} = \left(220,~40\right) $ and $ \vec{v_2} = \left(-110,~288\right) $ . | 2 |
796 | Find the sum of the vectors $ \vec{v_1} = \left(24,~-24\right) $ and $ \vec{v_2} = \left(-7,~10\right) $ . | 2 |
797 | Find the angle between vectors $ \left(-3,~8\right)$ and $\left(6,~-4\right)$. | 2 |
798 | Find the magnitude of the vector $ \| \vec{v} \| = \left(3,~1\right) $ . | 2 |
799 | Find the sum of the vectors $ \vec{v_1} = \left(3130,~108\right) $ and $ \vec{v_2} = \left(2860,~168\right) $ . | 2 |
800 | Find the angle between vectors $ \left(6,~1\right)$ and $\left(4,~2\right)$. | 2 |