Vectors – Solved Problems Database
All the problems and solutions shown below were generated using the Vectors Calculator.
ID |
Problem |
Count |
601 | Find the difference of the vectors $ \vec{v_1} = \left(210,~30\right) $ and $ \vec{v_2} = \left(-190,~321.43\right) $ . | 2 |
602 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-3,~-1\right) $ . | 2 |
603 | Find the magnitude of the vector $ \| \vec{v} \| = \left(50,~70\right) $ . | 2 |
604 | Find the magnitude of the vector $ \| \vec{v} \| = \left(0,~4\right) $ . | 2 |
605 | Find the projection of the vector $ \vec{v_1} = \left(-3,~4\right) $ on the vector $ \vec{v_2} = \left(6,~8\right) $. | 2 |
606 | Find the sum of the vectors $ \vec{v_1} = \left(-1,~-5\right) $ and $ \vec{v_2} = \left(4,~3\right) $ . | 2 |
607 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-10,~10\right) $ . | 2 |
608 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-4,~4\right) $ and $ \vec{v_2} = \left(2,~5\right) $ . | 2 |
609 | Find the sum of the vectors $ \vec{v_1} = \left(-7,~-1,~2\right) $ and $ \vec{v_2} = \left(-1,~1,~5\right) $ . | 2 |
610 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-4,~4\right) $ . | 2 |
611 | Find the projection of the vector $ \vec{v_1} = \left(4,~-4\right) $ on the vector $ \vec{v_2} = \left(6,~-6\right) $. | 2 |
612 | Find the sum of the vectors $ \vec{v_1} = \left(2,~3\right) $ and $ \vec{v_2} = \left(-1,~1\right) $ . | 2 |
613 | Find the magnitude of the vector $ \| \vec{v} \| = \left(6,~5\right) $ . | 2 |
614 | Find the projection of the vector $ \vec{v_1} = \left(1,~\sqrt{ 3 }\right) $ on the vector $ \vec{v_2} = \left(-1,~\sqrt{ 3 }\right) $. | 2 |
615 | Find the magnitude of the vector $ \| \vec{v} \| = \left(1,~3\right) $ . | 2 |
616 | Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~12\right) $ . | 2 |
617 | Find the angle between vectors $ \left(4,~-4\right)$ and $\left(6,~-6\right)$. | 2 |
618 | Find the magnitude of the vector $ \| \vec{v} \| = \left(\dfrac{ 88 }{ 5 },~1,~1\right) $ . | 2 |
619 | Find the sum of the vectors $ \vec{v_1} = \left(9,~-4\right) $ and $ \vec{v_2} = \left(-10,~7\right) $ . | 2 |
620 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-8,~-5\right) $ and $ \vec{v_2} = \left(-8,~-5\right) $ . | 2 |
621 | Find the magnitude of the vector $ \| \vec{v} \| = \left(8,~7\right) $ . | 2 |
622 | Find the magnitude of the vector $ \| \vec{v} \| = \left(1,~-1\right) $ . | 2 |
623 | Find the angle between vectors $ \left(3,~4\right)$ and $\left(-7,~5\right)$. | 2 |
624 | Find the magnitude of the vector $ \| \vec{v} \| = \left(4,~22\right) $ . | 2 |
625 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-2,~-1\right) $ . | 2 |
626 | Find the magnitude of the vector $ \| \vec{v} \| = \left(10,~24\right) $ . | 2 |
627 | Find the magnitude of the vector $ \| \vec{v} \| = \left(12.6,~13.2\right) $ . | 2 |
628 | Calculate the dot product of the vectors $ \vec{v_1} = \left(3,~-1,~2\right) $ and $ \vec{v_2} = \left(3,~-4,~2\right) $ . | 2 |
629 | Find the magnitude of the vector $ \| \vec{v} \| = \left(3,~17\right) $ . | 2 |
630 | Find the angle between vectors $ \left(1,~-1\right)$ and $\left(2,~1\right)$. | 2 |
631 | Find the magnitude of the vector $ \| \vec{v} \| = \left(15,~-15\right) $ . | 2 |
632 | Find the magnitude of the vector $ \| \vec{v} \| = \left(3,~3\right) $ . | 2 |
633 | Find the difference of the vectors $ \vec{v_1} = \left(12.6,~13.2\right) $ and $ \vec{v_2} = \left(4.73,~-4.99\right) $ . | 2 |
634 | Find the angle between vectors $ \left(4,~-4\right)$ and $\left(-12,~-12\right)$. | 2 |
635 | Find the difference of the vectors $ \vec{v_1} = \left(8,~-6\right) $ and $ \vec{v_2} = \left(-4,~8\right) $ . | 2 |
636 | Find the difference of the vectors $ \vec{v_1} = \left(3,~-3\right) $ and $ \vec{v_2} = \left(24,~6\right) $ . | 2 |
637 | Find the difference of the vectors $ \vec{v_1} = \left(\dfrac{ 3 }{ 5 },~-\dfrac{ 4 }{ 5 }\right) $ and $ \vec{v_2} = \left(\dfrac{ 4 }{ 5 },~\dfrac{ 2 }{ 5 }\right) $ . | 2 |
638 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-4,~1\right) $ and $ \vec{v_2} = \left(9,~6\right) $ . | 2 |
639 | Find the magnitude of the vector $ \| \vec{v} \| = \left(1,~-4\right) $ . | 2 |
640 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-1,~0\right) $ and $ \vec{v_2} = \left(0,~2\right) $ . | 2 |
641 | Find the angle between vectors $ \left(1,~\sqrt{ 3 }\right)$ and $\left(-1,~\sqrt{ 3 }\right)$. | 2 |
642 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-3,~-9\right) $ and $ \vec{v_2} = \left(-2,~-4\right) $ . | 2 |
643 | Find the magnitude of the vector $ \| \vec{v} \| = \left(\dfrac{ 1 }{ 4 },~\dfrac{ 3 }{ 4 }\right) $ . | 2 |
644 | Find the sum of the vectors $ \vec{v_1} = \left(-1,~-4,~2\right) $ and $ \vec{v_2} = \left(2,~2,~1\right) $ . | 2 |
645 | Find the difference of the vectors $ \vec{v_1} = \left(-2,~5\right) $ and $ \vec{v_2} = \left(4,~1\right) $ . | 2 |
646 | Find the angle between vectors $ \left(4,~-4\right)$ and $\left(1,~-4\right)$. | 2 |
647 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-4,~-2\right) $ . | 2 |
648 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~0\right) $ and $ \vec{v_2} = \left(3,~8\right) $ . | 2 |
649 | Find the magnitude of the vector $ \| \vec{v} \| = \left(24,~10\right) $ . | 2 |
650 | Find the sum of the vectors $ \vec{v_1} = \left(-1,~-4\right) $ and $ \vec{v_2} = \left(2,~-2\right) $ . | 2 |