Vectors – Solved Problems Database

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

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ID	Problem	Count
551	Find the angle between vectors $ \left(-4,~-1\right)$ and $\left(4,~2\right)$.	2
552	Find the difference of the vectors $ \vec{v_1} = \left(0,~-3\right) $ and $ \vec{v_2} = \left(1,~-1\right) $ .	2
553	Find the difference of the vectors $ \vec{v_1} = \left(1,~-1\right) $ and $ \vec{v_2} = \left(-4,~-1\right) $ .	2
554	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-5,~0\right) $ .	2
555	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-11,~-5\right) $ .	2
556	Find the sum of the vectors $ \vec{v_1} = \left(-1,~3\right) $ and $ \vec{v_2} = \left(4,~3\right) $ .	2
557	Find the angle between vectors $ \left(-1,~0\right)$ and $\left(-4,~0\right)$.	2
558	Find the angle between vectors $ \left(3,~3\right)$ and $\left(-5,~-20\right)$.	2
559	Calculate the dot product of the vectors $ \vec{v_1} = \left(8,~-3\right) $ and $ \vec{v_2} = \left(4,~-2\right) $ .	2
560	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-2,~-1\right) $ .	2
561	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(0,~1\right) $ .	2
562	Find the sum of the vectors $ \vec{v_1} = \left(5,~4\right) $ and $ \vec{v_2} = \left(6,~-9\right) $ .	2
563	Find the sum of the vectors $ \vec{v_1} = \left(8,~3\right) $ and $ \vec{v_2} = \left(-3,~-4\right) $ .	2
564	Find the sum of the vectors $ \vec{v_1} = \left(5,~-4\right) $ and $ \vec{v_2} = \left(-2,~3\right) $ .	2
565	Find the difference of the vectors $ \vec{v_1} = \left(18,~45\right) $ and $ \vec{v_2} = \left(18,~0\right) $ .	2
566	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(\dfrac{ 347 }{ 100 },~\dfrac{ 197 }{ 10 }\right) $ .	2
567	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(0,~8\right) $ .	2
568	Find the sum of the vectors $ \vec{v_1} = \left(5,~-8\right) $ and $ \vec{v_2} = \left(1,~-7\right) $ .	2
569	Find the angle between vectors $ \left(-1,~8\right)$ and $\left(0,~-1\right)$.	2
570	Find the angle between vectors $ \left(-3,~-1\right)$ and $\left(-9,~-2\right)$.	2
571	Find the angle between vectors $ \left(-2,~1\right)$ and $\left(-4,~2\right)$.	2
572	Find the sum of the vectors $ \vec{v_1} = \left(4,~0\right) $ and $ \vec{v_2} = \left(0,~6\right) $ .	2
573	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-1,~1\right) $ .	2
574	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(5,~12\right) $ .	2
575	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(10,~24\right) $ .	2
576	Calculate the dot product of the vectors $ \vec{v_1} = \left(3,~2\right) $ and $ \vec{v_2} = \left(5,~-6\right) $ .	2
577	Find the sum of the vectors $ \vec{v_1} = \left(5,~7\right) $ and $ \vec{v_2} = \left(-1,~1\right) $ .	2
578	Find the difference of the vectors $ \vec{v_1} = \left(5,~7\right) $ and $ \vec{v_2} = \left(-1,~1\right) $ .	2
579	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(5,~7\right) $ .	2
580	Calculate the dot product of the vectors $ \vec{v_1} = \left(5,~7\right) $ and $ \vec{v_2} = \left(-1,~1\right) $ .	2
581	Find the sum of the vectors $ \vec{v_1} = \left(-1,~2\right) $ and $ \vec{v_2} = \left(8,~-4\right) $ .	2
582	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(1,~1\right) $ .	2
583	Find the sum of the vectors $ \vec{v_1} = \left(5,~2\right) $ and $ \vec{v_2} = \left(9,~-4\right) $ .	2
584	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(4,~-1\right) $ .	2
585	Find the sum of the vectors $ \vec{v_1} = \left(-6,~-4\right) $ and $ \vec{v_2} = \left(3,~-9\right) $ .	2
586	Find the sum of the vectors $ \vec{v_1} = \left(-2,~5\right) $ and $ \vec{v_2} = \left(4,~3\right) $ .	2
587	Find the sum of the vectors $ \vec{v_1} = \left(-2,~-9\right) $ and $ \vec{v_2} = \left(-3,~1\right) $ .	2
588	Find the sum of the vectors $ \vec{v_1} = \left(1,~2\right) $ and $ \vec{v_2} = \left(-6,~3\right) $ .	2
589	Find the sum of the vectors $ \vec{v_1} = \left(-6,~15\right) $ and $ \vec{v_2} = \left(24,~18\right) $ .	2
590	Find the sum of the vectors $ \vec{v_1} = \left(2,~-9\right) $ and $ \vec{v_2} = \left(7,~6\right) $ .	2
591	Find the sum of the vectors $ \vec{v_1} = \left(-5,~-4\right) $ and $ \vec{v_2} = \left(4,~8\right) $ .	2
592	Find the angle between vectors $ \left(3,~3,~10\right)$ and $\left(7,~5,~0\right)$.	2
593	Find the sum of the vectors $ \vec{v_1} = \left(4,~4\right) $ and $ \vec{v_2} = \left(-2,~-2\right) $ .	2
594	Find the angle between vectors $ \left(4,~3\right)$ and $\left(-1,~-1\right)$.	2
595	Calculate the dot product of the vectors $ \vec{v_1} = \left(-4,~4\right) $ and $ \vec{v_2} = \left(2,~5\right) $ .	2
596	Find the magnitude of the vector $ \\| \vec{v} \\| = \left(-\sqrt{ 17 },~5\right) $ .	2
597	Calculate the dot product of the vectors $ \vec{v_1} = \left(6,~2\right) $ and $ \vec{v_2} = \left(0,~0\right) $ .	2
598	Calculate the dot product of the vectors $ \vec{v_1} = \left(6,~0\right) $ and $ \vec{v_2} = \left(2,~0\right) $ .	2
599	Find the projection of the vector $ \vec{v_1} = \left(-1,~-8,~3\right) $ on the vector $ \vec{v_2} = \left(-3,~-3,~-3\right) $.	2
600	Find the sum of the vectors $ \vec{v_1} = \left(5,~3\right) $ and $ \vec{v_2} = \left(3,~5\right) $ .	2