Vectors – Solved Problems Database

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

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