Vectors – Solved Problems Database
All the problems and solutions shown below were generated using the Vectors Calculator.
ID |
Problem |
Count |
2051 | Find the angle between vectors $ \left(2,~-5\right)$ and $\left(-3,~8\right)$. | 2 |
2052 | Find the angle between vectors $ \left(87,~30\right)$ and $\left(41,~1\right)$. | 2 |
2053 | Find the angle between vectors $ \left(5,~-5\right)$ and $\left(-4,~-3\right)$. | 2 |
2054 | Find the angle between vectors $ \left(3,~-1\right)$ and $\left(-2,~5\right)$. | 2 |
2055 | Calculate the dot product of the vectors $ \vec{v_1} = \left(3,~2\right) $ and $ \vec{v_2} = \left(1,~-4\right) $ . | 2 |
2056 | Find the angle between vectors $ \left(-3,~-1\right)$ and $\left(0,~-3\right)$. | 2 |
2057 | Find the magnitude of the vector $ \| \vec{v} \| = \left(0,~42\right) $ . | 2 |
2058 | Find the angle between vectors $ \left(-2,~1\right)$ and $\left(-4,~2\right)$. | 2 |
2059 | Find the angle between vectors $ \left(4,~5\right)$ and $\left(6,~8\right)$. | 2 |
2060 | Calculate the dot product of the vectors $ \vec{v_1} = \left(7,~1\right) $ and $ \vec{v_2} = \left(2,~9\right) $ . | 2 |
2061 | Find the angle between vectors $ \left(47,~40\right)$ and $\left(50,~1\right)$. | 2 |
2062 | Find the angle between vectors $ \left(-5,~0\right)$ and $\left(4,~-2\right)$. | 2 |
2063 | Find the sum of the vectors $ \vec{v_1} = \left(-5,~-4\right) $ and $ \vec{v_2} = \left(4,~8\right) $ . | 2 |
2064 | Find the angle between vectors $ \left(40,~24\right)$ and $\left(57,~1\right)$. | 2 |
2065 | Find the difference of the vectors $ \vec{v_1} = \left(16,~-8\right) $ and $ \vec{v_2} = \left(18,~3\right) $ . | 2 |
2066 | Find the projection of the vector $ \vec{v_1} = \left(-8,~4\right) $ on the vector $ \vec{v_2} = \left(7,~-6\right) $. | 2 |
2067 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-9,~40\right) $ . | 2 |
2068 | Calculate the dot product of the vectors $ \vec{v_1} = \left(0,~-5\right) $ and $ \vec{v_2} = \left(0,~9\right) $ . | 2 |
2069 | Find the sum of the vectors $ \vec{v_1} = \left(240,~300\right) $ and $ \vec{v_2} = \left(2.9,~3.08\right) $ . | 2 |
2070 | Find the angle between vectors $ \left(-1,~6\right)$ and $\left(2,~7\right)$. | 2 |
2071 | Find the angle between vectors $ \left(2,~5\right)$ and $\left(-3,~4\right)$. | 2 |
2072 | Find the angle between vectors $ \left(24,~35\right)$ and $\left(87,~1\right)$. | 2 |
2073 | Find the difference of the vectors $ \vec{v_1} = \left(0,~9\right) $ and $ \vec{v_2} = \left(10,~4\right) $ . | 2 |
2074 | Find the difference of the vectors $ \vec{v_1} = \left(-8,~-6\right) $ and $ \vec{v_2} = \left(9,~7\right) $ . | 2 |
2075 | Find the angle between vectors $ \left(-5,~3\right)$ and $\left(4,~-2\right)$. | 2 |
2076 | Find the magnitude of the vector $ \| \vec{v} \| = \left(4,~5\right) $ . | 2 |
2077 | Find the sum of the vectors $ \vec{v_1} = \left(8,~8\right) $ and $ \vec{v_2} = \left(-3,~1\right) $ . | 2 |
2078 | Find the angle between vectors $ \left(7,~1\right)$ and $\left(2,~9\right)$. | 2 |
2079 | Find the angle between vectors $ \left(35,~84\right)$ and $\left(30,~1\right)$. | 2 |
2080 | Find the sum of the vectors $ \vec{v_1} = \left(-4,~-2\right) $ and $ \vec{v_2} = \left(-1,~-4\right) $ . | 2 |
2081 | Find the angle between vectors $ \left(-1,~-5\right)$ and $\left(5,~1\right)$. | 2 |
2082 | Find the difference of the vectors $ \vec{v_1} = \left(-7,~-49\right) $ and $ \vec{v_2} = \left(-48,~-72\right) $ . | 2 |
2083 | Find the difference of the vectors $ \vec{v_1} = \left(-8,~-3\right) $ and $ \vec{v_2} = \left(-5,~-8\right) $ . | 2 |
2084 | Find the magnitude of the vector $ \| \vec{v} \| = \left(0,~0,~0\right) $ . | 2 |
2085 | Determine whether the vectors $ \vec{v_1} = \left(-6,~6\right) $ and $ \vec{v_2} = \left(8,~8\right) $ are linearly independent or dependent. | 2 |
2086 | Find the angle between vectors $ \left(9,~2\right)$ and $\left(6,~3\right)$. | 2 |
2087 | Find the projection of the vector $ \vec{v_1} = \left(-4,~-1,~0\right) $ on the vector $ \vec{v_2} = \left(1,~3,~-2\right) $. | 2 |
2088 | Find the angle between vectors $ \left(7,~5\right)$ and $\left(-4,~-2\right)$. | 2 |
2089 | Find the sum of the vectors $ \vec{v_1} = \left(2,~-3\right) $ and $ \vec{v_2} = \left(-2,~3\right) $ . | 2 |
2090 | Find the difference of the vectors $ \vec{v_1} = \left(4,~5\right) $ and $ \vec{v_2} = \left(6,~8\right) $ . | 2 |
2091 | Calculate the dot product of the vectors $ \vec{v_1} = \left(15,~-8\right) $ and $ \vec{v_2} = \left(-3,~-4\right) $ . | 2 |
2092 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-6,~18\right) $ and $ \vec{v_2} = \left(9,~3\right) $ . | 2 |
2093 | Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~3\right) $ . | 2 |
2094 | Find the angle between vectors $ \left(4,~2\right)$ and $\left(-5,~1\right)$. | 2 |
2095 | Calculate the cross product of the vectors $ \vec{v_1} = \left(-4,~8,~10\right) $ and $ \vec{v_2} = \left(4,~2,~-6\right) $ . | 2 |
2096 | Find the sum of the vectors $ \vec{v_1} = \left(6,~8\right) $ and $ \vec{v_2} = \left(-2,~-4\right) $ . | 2 |
2097 | Find the projection of the vector $ \vec{v_1} = \left(1,~-1,~1\right) $ on the vector $ \vec{v_2} = \left(1,~1,~-2\right) $. | 2 |
2098 | Find the projection of the vector $ \vec{v_1} = \left(-7,~-3\right) $ on the vector $ \vec{v_2} = \left(1,~-1\right) $. | 2 |
2099 | Find the angle between vectors $ \left(15,~-8\right)$ and $\left(-3,~-4\right)$. | 2 |
2100 | Find the angle between vectors $ \left(0,~4\right)$ and $\left(-4,~3\right)$. | 2 |