Use cross products to find the area of the triangle in the xy-plane defined by (1,2), (3,4), and (–10, 10).

Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

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Q: Find the cross product a × b where a = (0, 3, 4) and b = (5,1,2). axb =

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the area of the hyperbolic (geodesic) triangle with vertices (3,0), (4,0) and (5,0).

A: Let P(3,0), Q(4,0) and R(5,0) be three vertices.  It is known that the equation of hyperbolic line…

Q: Find the cross product a × b. a = (t, t2, t3),      b = (1, 6t, 8t^2)

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Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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Q: Calculate the cross product assuming that u×w=⟨2,5,7⟩, (2u+3w)×w How do I find u and w from their…

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Q: Find the distance d between the points (1, 3) and (5, 6).

A: Our Aim is to find the distance between the points (1,3) and (5,6).

Q: Find the dot product of ū = (3,-2) and v = (5,-7). Select one: -1 V29 29 (8,-9)

A: Consider the vectors u→=3,−2v→=5,−7

Q: calculate S S, y³ dA where Ris the vertex of the triangle (0, 2), ( 1,1) and (3, 2)|

A: In this question we have to calculate the following integral.

Q: How would i find the area of the parallelogram spanned by v and w?

A: Step 1:​v=⟨1,3,1⟩w=⟨−4,2,6⟩​Step 2:​Area of the parallelogram spanned by v and…