Vectors – Solved Problems Database
All the problems and solutions shown below were generated using the Vectors Calculator.
ID |
Problem |
Count |
551 | Calculate the dot product of the vectors $ \vec{v_1} = \left(1,~-1,~0\right) $ and $ \vec{v_2} = \left(1,~0,~2\right) $ . | 2 |
552 | Find the magnitude of the vector $ \| \vec{v} \| = \left(3,~2\right) $ . | 2 |
553 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-21,~28\right) $ . | 2 |
554 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-7,~-3\right) $ and $ \vec{v_2} = \left(-9,~-3\right) $ . | 2 |
555 | Find the sum of the vectors $ \vec{v_1} = \left(6,~8\right) $ and $ \vec{v_2} = \left(-4,~3\right) $ . | 2 |
556 | Calculate the dot product of the vectors $ \vec{v_1} = \left(13,~0\right) $ and $ \vec{v_2} = \left(0,~-5\right) $ . | 2 |
557 | Find the difference of the vectors $ \vec{v_1} = \left(2,~3\right) $ and $ \vec{v_2} = \left(18,~-9\right) $ . | 2 |
558 | Calculate the dot product of the vectors $ \vec{v_1} = \left(\sqrt{ 3 },~-3\right) $ and $ \vec{v_2} = \left(1,~-1\right) $ . | 2 |
559 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-5,~-5\right) $ . | 2 |
560 | Find the angle between vectors $ \left(-\dfrac{ 4 }{ 3 },~\dfrac{ 5 }{ 2 }\right)$ and $\left(16,~-30\right)$. | 2 |
561 | Find the sum of the vectors $ \vec{v_1} = \left(0,~2\right) $ and $ \vec{v_2} = \left(1,~4\right) $ . | 2 |
562 | Calculate the dot product of the vectors $ \vec{v_1} = \left(8,~-3\right) $ and $ \vec{v_2} = \left(4,~-2\right) $ . | 2 |
563 | Find the angle between vectors $ \left(3,~0\right)$ and $\left(2,~0\right)$. | 2 |
564 | Find the magnitude of the vector $ \| \vec{v} \| = \left(7,~7\right) $ . | 2 |
565 | Find the difference of the vectors $ \vec{v_1} = \left(-6,~7\right) $ and $ \vec{v_2} = \left(3,~8\right) $ . | 2 |
566 | Find the angle between vectors $ \left(3,~1\right)$ and $\left(-3,~3\right)$. | 2 |
567 | Find the sum of the vectors $ \vec{v_1} = \left(13,~0\right) $ and $ \vec{v_2} = \left(0,~-5\right) $ . | 2 |
568 | Find the angle between vectors $ \left(-3,~-7\right)$ and $\left(4,~-4\right)$. | 2 |
569 | Calculate the dot product of the vectors $ \vec{v_1} = \left(7,~7\right) $ and $ \vec{v_2} = \left(-8,~1\right) $ . | 2 |
570 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-\dfrac{ 3 }{ 5 },~\dfrac{ 4 }{ 5 }\right) $ . | 2 |
571 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2,~10\right) $ . | 2 |
572 | Find the sum of the vectors $ \vec{v_1} = \left(-1,~0\right) $ and $ \vec{v_2} = \left(-4,~-5\right) $ . | 2 |
573 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-3,~-11\right) $ . | 2 |
574 | Find the difference of the vectors $ \vec{v_1} = \left(8,~-8\right) $ and $ \vec{v_2} = \left(-5,~8\right) $ . | 2 |
575 | Find the magnitude of the vector $ \| \vec{v} \| = \left(\dfrac{ 9 }{ 10 },~\dfrac{ 1 }{ 10 }\right) $ . | 2 |
576 | Find the magnitude of the vector $ \| \vec{v} \| = \left(1,~3\right) $ . | 2 |
577 | Find the magnitude of the vector $ \| \vec{v} \| = \left(13,~-5\right) $ . | 2 |
578 | Find the difference of the vectors $ \vec{v_1} = \left(-6,~3\right) $ and $ \vec{v_2} = \left(4,~-9\right) $ . | 2 |
579 | Calculate the dot product of the vectors $ \vec{v_1} = \left(5,~-1\right) $ and $ \vec{v_2} = \left(-5,~2\right) $ . | 2 |
580 | Calculate the dot product of the vectors $ \vec{v_1} = \left(1,~\sqrt{ 3 }\right) $ and $ \vec{v_2} = \left(-1,~\sqrt{ 3 }\right) $ . | 2 |
581 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-3\right) $ and $ \vec{v_2} = \left(-3,~-4\right) $ . | 2 |
582 | Find the angle between vectors $ \left(-8,~\sqrt{ 3 }\right)$ and $\left(10,~0\right)$. | 2 |
583 | Find the projection of the vector $ \vec{v_1} = \left(0,~2\right) $ on the vector $ \vec{v_2} = \left(5,~-3\right) $. | 2 |
584 | Find the sum of the vectors $ \vec{v_1} = \left(3,~7\right) $ and $ \vec{v_2} = \left(-8,~4\right) $ . | 2 |
585 | Find the sum of the vectors $ \vec{v_1} = \left(4,~0\right) $ and $ \vec{v_2} = \left(0,~6\right) $ . | 2 |
586 | Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-2\right) $ and $ \vec{v_2} = \left(3,~5\right) $ . | 2 |
587 | Find the angle between vectors $ \left(13,~0\right)$ and $\left(0,~-5\right)$. | 2 |
588 | Find the difference of the vectors $ \vec{v_1} = \left(-1,~0\right) $ and $ \vec{v_2} = \left(-4,~-5\right) $ . | 2 |
589 | Find the difference of the vectors $ \vec{v_1} = \left(240,~10\right) $ and $ \vec{v_2} = \left(-190,~321.43\right) $ . | 2 |
590 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-2,~6\right) $ . | 2 |
591 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-6,~4\right) $ . | 2 |
592 | Find the sum of the vectors $ \vec{v_1} = \left(1,~5\right) $ and $ \vec{v_2} = \left(43,~0\right) $ . | 2 |
593 | Find the magnitude of the vector $ \| \vec{v} \| = \left(9,~40\right) $ . | 2 |
594 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-2,~2\right) $ . | 2 |
595 | Find the projection of the vector $ \vec{v_1} = \left(-1,~4\right) $ on the vector $ \vec{v_2} = \left(\dfrac{ 7 }{ 2 },~-\dfrac{ 5 }{ 4 }\right) $. | 2 |
596 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-8,~\sqrt{ 3 }\right) $ . | 2 |
597 | Find the sum of the vectors $ \vec{v_1} = \left(1,~1\right) $ and $ \vec{v_2} = \left(2,~2\right) $ . | 2 |
598 | Find the sum of the vectors $ \vec{v_1} = \left(1,~5\right) $ and $ \vec{v_2} = \left(4,~3\right) $ . | 2 |
599 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-1,~1\right) $ . | 2 |
600 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-1,~-2,~4\right) $ and $ \vec{v_2} = \left(-1,~3,~-2\right) $ . | 2 |