# Cosine + scalar product - math problems

#### Number of problems found: 5

• Decide 2 Decide whether points A[-2, -5], B[4, 3] and C[16, -1] lie on the same line
• Angle of the body diagonals Using vector dot product calculate the angle of the body diagonals of the cube.
• Angle between vectors Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20)
• Triangle Triangle KLM is given by plane coordinates of vertices: K[11, -10] L[10, 12] M[1, 3]. Calculate its area and its interior angles.
• Cuboids Two separate cuboids with different orientation in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633)

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