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- find two unit vectors orthogonal to (-1,-1,5) and (-5,-,3,3)Is it possible to write the vector (-5,11,-7) as a linear combination of the vectors {(1,-2,2),(0,5,5), (2,0,8)}? Either write the linear combination or explain why you can’t.Write the vectors (1, 0, 0) and (0, 0, 1) as linear combinations of vectors {(1, 0, -1), (0, 1, 0), (1, 0, 1)}
- Find two vectors V1 and V2 whose sum is ⟨2,−5,3⟩, where V1 is parallel to ⟨4,4,0⟩ while V2 is perpendicular to ⟨4,4,0⟩.Find a vector orthogonal to both <1,0,1> and <2,3,4>. Include a step by step solution pleaseexpress the vector (4,5,5) as a linear combinations of vector (1,2,3) (-1,1,4) and (3,3,2)
- 7. Find a vector that has the same direction as {-2,1,2} but twice the length.1. What vector points from the origin to the point (4, 3, -1)? 2. Write (-3, 0, 2) as a sum of two vectors:Find the (a) component form and (b) length of the vector with initial point P(-3, 4, 1) and terminal point Q(-5, 2, 2).