Verify the Pythagorean Theorem for the vectors u and v. u = (-1, 3, –4), v = (4, 0, –1) STEP 1: Compute u · v. Are u and v orthogonal? Yes No STEP 2: Compute ||u ||2 and ||v||2. ||u ||? = ||? = STEP 3: Compute u + v and |u + v||2. (3,3, – 5) u + v = ||u + v||? STEP 4: Is the statement ||u + v||2 = ||u||2 + ||v||2 true? Yes O No ||

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Q: 2. Consider the two vectors in R³ with components u = (2,-1,-1) and v = (-2,1+ √√3,1-√3). (a) (12…

A: Step 1: Step 2: Step 3: Step 4:

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A: Here,  Given that  two vectors  . So, we find the value of  |a|^2.|b|^ - |a.b|^2