Vectors – Solved Problems Database
All the problems and solutions shown below were generated using the Vectors Calculator.
ID |
Problem |
Count |
2151 | Find the angle between vectors $ \left(0,~4\right)$ and $\left(\dfrac{ 3 \sqrt{ 2}}{ 2 },~\dfrac{ 3 \sqrt{ 2}}{ 2 }\right)$. | 2 |
2152 | Find the angle between vectors $ \left(0,~1\right)$ and $\left(0,~5\right)$. | 2 |
2153 | Find the sum of the vectors $ \vec{v_1} = \left(2,~9\right) $ and $ \vec{v_2} = \left(2,~0\right) $ . | 2 |
2154 | Find the sum of the vectors $ \vec{v_1} = \left(2,~-1\right) $ and $ \vec{v_2} = \left(-16,~-20\right) $ . | 2 |
2155 | Find the angle between vectors $ \left(5,~3\right)$ and $\left(1,~3\right)$. | 2 |
2156 | Calculate the dot product of the vectors $ \vec{v_1} = \left(5,~1,~-3\right) $ and $ \vec{v_2} = \left(2,~-1,~3\right) $ . | 2 |
2157 | Calculate the dot product of the vectors $ \vec{v_1} = \left(-4,~-1\right) $ and $ \vec{v_2} = \left(-7,~-9\right) $ . | 2 |
2158 | Find the difference of the vectors $ \vec{v_1} = \left(3,~-8\right) $ and $ \vec{v_2} = \left(7,~\dfrac{ 21 }{ 8 }\right) $ . | 2 |
2159 | Find the sum of the vectors $ \vec{v_1} = \left(2,~1\right) $ and $ \vec{v_2} = \left(1,~3\right) $ . | 2 |
2160 | Calculate the cross product of the vectors $ \vec{v_1} = \left(2,~2,~1\right) $ and $ \vec{v_2} = \left(1,~0,~3\right) $ . | 2 |
2161 | Find the magnitude of the vector $ \| \vec{v} \| = \left(5,~3\right) $ . | 2 |
2162 | Find the angle between vectors $ \left(\dfrac{ 1 }{ 5 },~\dfrac{ 4 }{ 5 }\right)$ and $\left(\dfrac{ 7 }{ 10 },~\dfrac{ 3 }{ 10 }\right)$. | 2 |
2163 | Find the sum of the vectors $ \vec{v_1} = \left(-4,~5\right) $ and $ \vec{v_2} = \left(2,~-4\right) $ . | 2 |
2164 | Find the magnitude of the vector $ \| \vec{v} \| = \left(50,~105\right) $ . | 2 |
2165 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-2,~2 \sqrt{ 3 }\right) $ . | 2 |
2166 | Find the magnitude of the vector $ \| \vec{v} \| = \left(8,~7,~0\right) $ . | 2 |
2167 | Find the difference of the vectors $ \vec{v_1} = \left(230,~80\right) $ and $ \vec{v_2} = \left(-190,~321\right) $ . | 2 |
2168 | Find the angle between vectors $ \left(-5,~-1\right)$ and $\left(-5,~-1\right)$. | 2 |
2169 | Find the difference of the vectors $ \vec{v_1} = \left(-3,~0\right) $ and $ \vec{v_2} = \left(5,~0\right) $ . | 2 |
2170 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-2,~-6\right) $ . | 2 |
2171 | Determine whether the vectors $ \vec{v_1} = \left(6,~-4\right) $ and $ \vec{v_2} = \left(18,~-12\right) $ are linearly independent or dependent. | 2 |
2172 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-4,~-2\right) $ . | 2 |
2173 | Calculate the dot product of the vectors $ \vec{v_1} = \left(1,~0\right) $ and $ \vec{v_2} = \left(2,~-3\right) $ . | 2 |
2174 | Find the magnitude of the vector $ \| \vec{v} \| = \left(420,~-241\right) $ . | 2 |
2175 | Find the angle between vectors $ \left(-2,~-3\right)$ and $\left(-2,~2\right)$. | 2 |
2176 | Find the magnitude of the vector $ \| \vec{v} \| = \left(-5,~7\right) $ . | 2 |
2177 | Find the sum of the vectors $ \vec{v_1} = \left(8,~4\right) $ and $ \vec{v_2} = \left(-3,~-1\right) $ . | 2 |
2178 | Find the sum of the vectors $ \vec{v_1} = \left(1,~2\right) $ and $ \vec{v_2} = \left(-1,~-5\right) $ . | 2 |
2179 | Find the magnitude of the vector $ \| \vec{v} \| = \left(1,~3,~-1\right) $ . | 2 |
2180 | Find the sum of the vectors $ \vec{v_1} = \left(8,~7,~0\right) $ and $ \vec{v_2} = \left(6,~-5,~-2\right) $ . | 2 |
2181 | Find the magnitude of the vector $ \| \vec{v} \| = \left(40,~-30\right) $ . | 2 |
2182 | Find the angle between vectors $ \left(80,~61\right)$ and $\left(25,~1\right)$. | 2 |
2183 | Find the difference of the vectors $ \vec{v_1} = \left(4,~2\right) $ and $ \vec{v_2} = \left(8,~2\right) $ . | 2 |
2184 | Find the angle between vectors $ \left(0,~40\right)$ and $\left(18,~0\right)$. | 2 |
2185 | Find the sum of the vectors $ \vec{v_1} = \left(2,~-1\right) $ and $ \vec{v_2} = \left(-20,~-25\right) $ . | 2 |
2186 | Find the sum of the vectors $ \vec{v_1} = \left(1,~0\right) $ and $ \vec{v_2} = \left(-\dfrac{ 1 }{ 2 },~\dfrac{\sqrt{ 3 }}{ 2 }\right) $ . | 2 |
2187 | Find the angle between vectors $ \left(-7,~3\right)$ and $\left(9,~1\right)$. | 2 |
2188 | Find the magnitude of the vector $ \| \vec{v} \| = \left(1,~3\right) $ . | 2 |
2189 | Find the angle between vectors $ \left(4,~3\right)$ and $\left(-1,~-1\right)$. | 2 |
2190 | Find the difference of the vectors $ \vec{v_1} = \left(0,~-4\right) $ and $ \vec{v_2} = \left(2,~-5\right) $ . | 2 |
2191 | Find the difference of the vectors $ \vec{v_1} = \left(1,~3\right) $ and $ \vec{v_2} = \left(0,~2\right) $ . | 2 |
2192 | Find the projection of the vector $ \vec{v_1} = \left(-4,~-7\right) $ on the vector $ \vec{v_2} = \left(3,~-8\right) $. | 2 |
2193 | Find the magnitude of the vector $ \| \vec{v} \| = \left(2,~0\right) $ . | 2 |
2194 | Find the magnitude of the vector $ \| \vec{v} \| = \left(6,~-5,~-2\right) $ . | 2 |
2195 | Find the sum of the vectors $ \vec{v_1} = \left(855,~130\right) $ and $ \vec{v_2} = \left(775,~135\right) $ . | 2 |
2196 | Find the projection of the vector $ \vec{v_1} = \left(-2,~6\right) $ on the vector $ \vec{v_2} = \left(1,~6\right) $. | 2 |
2197 | Find the angle between vectors $ \left(5,~1,~0\right)$ and $\left(-16,~-12,~-8\right)$. | 2 |
2198 | Find the magnitude of the vector $ \| \vec{v} \| = \left(3,~0\right) $ . | 2 |
2199 | Find the magnitude of the vector $ \| \vec{v} \| = \left(4,~-2\right) $ . | 2 |
2200 | Calculate the cross product of the vectors $ \vec{v_1} = \left(3,~-1,~1\right) $ and $ \vec{v_2} = \left(0,~-2,~2\right) $ . | 2 |