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

Q: 23. Evaluate (x8(x² - 2x - 3)dx A)1 BIO C)-I D12 E)-2 24. For a constant vector E, find the constant…

A: Let us solve above problem.

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 the component of the resultant vector. f = v = Find: -2f-2v

A: Given  f=6,-3v=-11,8

Q: Find the unit vector in the same direction as the vector u = [8, –7].

A: When you divide a vector by its magnitude you get an unit vector along its direction.

Q: The vector ₹ = −a + 2a expressed in RCS and in terms of þ is

A:

Q: Let u=(-1,37 and u =< 2,-57 Find the Component form of the vector Su-V

A:

Q: Find vector c = 3u – v, if u = and v =.

A: Given u = 2i - 7j + 3k and             v = 0i + 4j -  k = 4j - k Now vector c = 3u - (1/2)v c = 3(2i…

Q: Find the angle 0 between the vectors. f(x) = 3x, g(x) = 4x?, (f, g) = | Rx)9 f(x)g(x) dx radians

A:

Q: = - A. Find the unit vector that makes an angle (0 with the positive x-axis.

A: The unit vector makes an angle θ=-3π4 with positive x-axis

Q: Given that the position vector, r(t)=√√3 cos (21)i +2 sin (21) j+cos (2t)k. Fin (a) the tangent…

A:

Q: Find the angle 0 between the two vectors u = and v = .

A:

Q: Let u = (-3,4) and v = (2, –5). Find (a) the component form of the vector 3u – 4v and (b) its…

A:

Q: Find the equation of line passing through point P(1, –1, 2) , the direction of the line is parallel…

A: The line passes through the pointP→ = i-j+2kThe line parallel to the lineV→ = i-2i+kThe vector…

Q: Find the coordinate vector for p relative to S = {p1.P2-P3} p= 7+ 2x +x²; p1= 1, p2 = x, P3 = x2…

A:

Q: Find u · (v ✕ w).

A: Here we have to find the given vector operation