Vectors

(the database of solved problems)

All the problems and solutions shown below were generated using the Vectors Calculator.

Select category

ID	Problem	Count
851	Find the difference of the vectors $ \vec{v_1} = \left(4,~-3\right) $ and $ \vec{v_2} = \left(0,~9\right) $ .	2
852	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(4,~7\right) $ .	2
853	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-10,~5\right) $ .	2
854	Find the angle between vectors $ \left(4,~3\right)$ and $\left(3,~-4\right)$.	2
855	Find the sum of the vectors $ \vec{v_1} = \left(26,~0\right) $ and $ \vec{v_2} = \left(\dfrac{ 36 }{ 5 },~120\right) $ .	2
856	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-4,~5\right) $ .	2
857	Find the projection of the vector $ \vec{v_1} = \left(8,~150\right) $ on the vector $ \vec{v_2} = \left(0,~0\right) $.	2
858	Find the sum of the vectors $ \vec{v_1} = \left(5,~-4\right) $ and $ \vec{v_2} = \left(9,~3\right) $ .	2
859	Find the difference of the vectors $ \vec{v_1} = \left(5,~-4\right) $ and $ \vec{v_2} = \left(9,~3\right) $ .	2
860	Calculate the dot product of the vectors $ \vec{v_1} = \left(6,~-3\right) $ and $ \vec{v_2} = \left(-2,~8\right) $ .	2
861	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(6,~-3\right) $ .	2
862	Find the difference of the vectors $ \vec{v_1} = \left(6,~-3\right) $ and $ \vec{v_2} = \left(-2,~8\right) $ .	2
863	Find the angle between vectors $ \left(6,~-3\right)$ and $\left(-2,~8\right)$.	2
864	Find the projection of the vector $ \vec{v_1} = \left(6,~-3\right) $ on the vector $ \vec{v_2} = \left(-2,~8\right) $.	2
865	Find the sum of the vectors $ \vec{v_1} = \left(1,~0\right) $ and $ \vec{v_2} = \left(1.5,~0\right) $ .	2
866	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(0,~-4\right) $ .	2
867	Find the angle between vectors $ \left(4,~0\right)$ and $\left(2,~5\right)$.	2
868	Calculate the dot product of the vectors $ \vec{v_1} = \left(2,~-2\right) $ and $ \vec{v_2} = \left(1,~-1\right) $ .	2
869	Calculate the dot product of the vectors $ \vec{v_1} = \left(3,~12\right) $ and $ \vec{v_2} = \left(6,~9\right) $ .	2
870	Find the sum of the vectors $ \vec{v_1} = \left(10,~-9\right) $ and $ \vec{v_2} = \left(-1,~-4\right) $ .	2
871	Find the difference of the vectors $ \vec{v_1} = \left(48,~-16\right) $ and $ \vec{v_2} = \left(27,~-8\right) $ .	2
872	Find the difference of the vectors $ \vec{v_1} = \left(-6,~8\right) $ and $ \vec{v_2} = \left(\dfrac{ 22 }{ 5 },~-\dfrac{ 23 }{ 5 }\right) $ .	2
873	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-7,~-60\right) $ .	2
874	Find the angle between vectors $ \left(3,~-2,~4\right)$ and $\left(1,~-1,~5\right)$.	2
875	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(\dfrac{ 19 }{ 100 },~\dfrac{ 81 }{ 100 }\right) $ .	2
876	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-3,~-9\right) $ .	2
877	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(7,~-4\right) $ .	2
878	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(5,~4\right) $ .	2
879	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(5,~-1\right) $ .	2
880	Find the sum of the vectors $ \vec{v_1} = \left(2,~7\right) $ and $ \vec{v_2} = \left(8,~0\right) $ .	2
881	Find the difference of the vectors $ \vec{v_1} = \left(4,~14\right) $ and $ \vec{v_2} = \left(24,~0\right) $ .	2
882	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(0,~0\right) $ .	2
883	Find the difference of the vectors $ \vec{v_1} = \left(3,~2\right) $ and $ \vec{v_2} = \left(2,~4\right) $ .	2
884	Find the difference of the vectors $ \vec{v_1} = \left(9,~6\right) $ and $ \vec{v_2} = \left(8,~16\right) $ .	2
885	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(0,~0\right) $ .	2
886	Find the sum of the vectors $ \vec{v_1} = \left(5,~4\right) $ and $ \vec{v_2} = \left(7,~-2\right) $ .	2
887	Find the difference of the vectors $ \vec{v_1} = \left(3,~-5\right) $ and $ \vec{v_2} = \left(-2,~3\right) $ .	2
888	Find the angle between vectors $ \left(-1,~2\right)$ and $\left(1,~4\right)$.	2
889	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-3,~2\right) $ .	2
890	Calculate the dot product of the vectors $ \vec{v_1} = \left(6,~-8\right) $ and $ \vec{v_2} = \left(-5,~-3\right) $ .	2
891	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-3,~-3\right) $ .	2
892	Find the sum of the vectors $ \vec{v_1} = \left(-3,~4\right) $ and $ \vec{v_2} = \left(-2,~1\right) $ .	2
893	Find the difference of the vectors $ \vec{v_1} = \left(-3,~4\right) $ and $ \vec{v_2} = \left(-2,~1\right) $ .	2
894	Find the difference of the vectors $ \vec{v_1} = \left(2,~4\right) $ and $ \vec{v_2} = \left(6,~2\right) $ .	2
895	Calculate the dot product of the vectors $ \vec{v_1} = \left(5,~-1\right) $ and $ \vec{v_2} = \left(-5,~2\right) $ .	2
896	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-3,~6\right) $ .	2
897	Find the difference of the vectors $ \vec{v_1} = \left(30,~24\right) $ and $ \vec{v_2} = \left(-54,~-18\right) $ .	2
898	Find the difference of the vectors $ \vec{v_1} = \left(30,~24\right) $ and $ \vec{v_2} = \left(54,~18\right) $ .	2
899	Find the difference of the vectors $ \vec{v_1} = \left(3,~7\right) $ and $ \vec{v_2} = \left(9,~2\right) $ .	2
900	Find the difference of the vectors $ \vec{v_1} = \left(13,~7\right) $ and $ \vec{v_2} = \left(9,~2\right) $ .	2