Find the direction cosines and angles of u. Notice that the sum of the squares of the direction cosines is 1. u = -5i + 4j + 8k Step 1 Write the vector u = -5i + 4j + 8k in component form. u = (41, 42, 43) = | = =
Find the area of the triangle with the given vertices. (Hint: ||ux v|| is the area of the triangle having u and v as adjacent sides. A(0, 0, 0), B(2,0, 8), C(-6, 3,0) Step 1 Let the vertices of the triangle ABC be A(0, 0, 0), B(2,0, 8), and C(-6, 3,0). Find the vectors AB and AC, which represent adjacent sides of the triangle ABC. First find AB. AB = · (2 - 0)i + (0 - 0)j + |-o)k AB ,0,
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