FV (Gr)-G · ▼ (F · r) = r. (F.V)G – (G.V) F (F-V) (V)F], wherer is the position vector.

Q: Find the maximum rate of change of f(x, y) = ln(x² + y?) at the point (-4, -3) and the direction in…

A:

Q: Find u · v. u - (7, 2) - (-6, 3) V u.v -

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Let vector v = 3i – 2j+ 4k and point P = (0,0, -3). For what point Q is it true that v = PQ?

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Q: Let = [-3 1] and = [1 2]. Find the following vectors. [ ]]. ]]. u = 7y= = [1 w = 2x + 7y = [ v=27=…

A: Given: Let x→=[-3  1] and y→=[1  2].

Q: Compute the following, then sketch each resultant vector. u=(0, -7),v =(-8, 8) (a)u+v=  (b)u-v=…

A: Given vectors:u=(0,−7)v=(−8,8) (a)   u+v:u+v=(0,−7)+(−8,8)u+v=(0+(−8),−7+8)u+v=(−8,1) (b)…

Q: What does is mean for two functions f(x) and g(x) to be orthogonal

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Q: = ---- -2 8 span of v₁ and v₂? Let V₁ = and y = -5 -3 For what value(s) of h is the vector y in the

A: The given vectors  and .The objective is the find the value of  for which the vector  in the span of…

Q: Find the position vector (i.e. the direction vector) from the point P(−4,−6,3) to the point…

A: To find the position vector (i.e. the direction vector) from the point  P-4, -6, 3 to the point Q4,…