Problems  

Ql. Let  and w = y . 1  

[1 Find all vectors V], such that the vector it x it is a multiple of 1 -1  

Q2. Find the equation of the plane determined by the points (1,0,0), (0,1,0) and (0,0,1). 

Q3. Determine the magnitude of the orthogonal projection of the vector ir = [1,2,3] onto the plane x+2y+2z=7. 

Q4. Create a contour map for the function f (x, y) = xy using c = -2, -1,0,1,2. 

Q5. Find two paths through the origin, such that, along these paths, the limit lim 4xy3 (x,0-0,0 x2 + 20  

presents different values.  

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