Find a non-zero vector B' which is perpendicular to A'= 2i'-3j'.
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- Find the two-unit vectors that are parallel to the tangent line to the curve y =x2sin(x) at the point (π/2, π2/4).Find a unit vector tangent to the curve of intersection of -x^2 - 2y^3 = z - 3 and 25/x2 - 4y - 3z^2 = - x + 6 at the point (1,1,0).Find a vector equation for the tangent line to the curve of intersection of the cylinders x2+y2=25 and y2+z2=20 at the point (3, 4, 2).
- A vector with magnitude 4 points in a direction 265 degrees counterclockwise from the positive x axis.4 Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in thedirectiona. of vector v =<4,3> and toward the origin.Find a vector equation for the curve of intersectionof the surfaces x^2 + y^2 = 4 andz = xy.