Need math help please

Need math help please



Consider the three points A(1, 2, 3), B(4, 5, 6), C(8, 5, 1) in R3, and the triangle ABC that they form.

Use the dot product to show that ABC is a right-angled triangle, identify which point is associated with the right angle.

Find the other two interior angles of the triangle ABC.

Use the cross product to find the area of the triangle ABC

And:

Find the vector, parametric and symmetric equations of the line L2 that passes through the point P(1,2,3), is perpendicular to the line L1 : x = 1 + t, y = 3 + 2t, z = ?t and intersects the line L1.

What is the distance from P to the line L1?

At what point does the line L2 intersect the plane x ? y + z = 5?





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