Equation of the plane passes through the point (1, 2, 3) and parallel to the vector A= 2i+3j :+k and the vector B= i-j+2k is d. 7x+3y-5z=0 O a. 7x-3y-5z=-14 O c. 7x+3y+5z= 14 O b. 7x-3y-5z-14=0 O

The zero vector 0 = (0, 0, 0) can be written a linear combination of the vectors v., v,, and v- because 0 = Ov, + 0v, + 0v3. This is called the trivia! solution. Can you find a nontrivial way of writing 0 as a linear combination of the three vectors? (Enter your answer in terms of v., v,, and v- If not possible, enter IMPOSSIBLE.) V1 = (1, 0, 1), V2 = (-1, 1, 2), V3 = (0, 1, 6)

the transfer of the coordinate system by the vector v = 21 +3j is carried out. The original coordinates of point P are (5, -2) and the new coordinates of point Q are (-4, 1). Determine the new coordinates of P and the original coordinates of Q

Find the value