Determine which pairs of vectors in Exercises 15–18 are orthogonal.

Explain in detail asap

5. Determine if the vectors x² + x, 2x²,2x − 3, 9 in P3 are linearly independent or linearly dependent. Do these vectors span P3 ? Explain.

Let a and b be vectors in R" such that |la||=|b||= 2 and (a,b>= 2. Then ab..

The following question is from linear algebra first year: Factors the vector (6, -5, -1)t into three components a,b,c that satisfy the following conditions: a depends on (2,0,1)t, b depends on (1,2, 0)t and c is orthogonal to a and b. Please show it step by step. Can we get integers as answers?

Chapter 11, Section 11.3, Question 033 If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from point P to the line L is equal to the length of the component of the vector AP that is orthogonal to the vector AB. Use the method above to find the distance from the point P(-3, 1,7) to the line through A(1, 1.0) and B(-2,3, -4). Distance = Edit Click if you would like to Show Work for this question: Open Show Work