For each of the following bilinear forms b : V × V → R, state whether b is product and explain why. b(u, v) = U1V1 + 3U1V2 – U2V1 + UQV2, where V = R² and u = (u1, U2), V = (V1, v2) are two vectors in V.

Q: Consider the two vectors -4 u = 6 and v = -5 Calculate u · v and u x v and enter these in the box…

A: topic- vectors

Q: Consider the following vectors. u (6, –5) and v = (9, 1) u + v = (12, – 3) | (c) Find 7v – u. 7v – u…

A: By algebra of vectors we solve the this question.

Q: In 3-D, let L be a line that does not pass through the origin. let v1, v2, and v3 be three vector…

A: We have to decide there vectors v1, v2, v3 are linearly indipendent in R3 or not.

Q: Help

A: Step 1:Step 2: Step 3: Step 4:

Q: Compute (u v Ղա • Ա. . — u = (i, 7,6), v = (2, -7i, 1+i), w = (7-i, 7i, 3 + 6i) u · v) ա • Ա —

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Q: 2. For the vectors u = -5i + k and v = 3j - 4k, find a. (u · v)u b. u - 3v

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Q: For the vectors u=−1,4 and v=−4,2​, calculate projvu and scalvu.

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Q: What value of a will make the vectors (-2, x, 1) and (2, –1, 1) orthogonal? Select one: O a. 3 O b.…

A: For orthogonal, dot product of two vectors are zero.

Q: Given the following vectors, calculate -5u+2v u=(7,3), V=(5,-3)

A: Given query is to perform indicated vector operation.

Q: Use the given vectors to compute u + v, u − v, and 5u − 3v. u = (5, −2),    v = (7, 6)

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Q: Let i = [1 -4] and y = [4 -6]. Find the following vectors. i = 57 ü = 2g =| w = 5i + 2j =||

A: The solution is given below:-

Q: If v = 7i + 3j and w = 4i - 5j, find the vector v - w

A: If v = 7i + 3j and w = 4i - 5j, find the vector v - w

Q: Given the points A(-6, 4) and B(-3, 5), express | the vector AB in terms of i and j.

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Q: For the vectors u = (1, 2, 0) and v = (2, 1, 3) , evaluate the following expressions. a. 2u + 4v c.…

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Q: If c = 14, is the vector 2i + 5j in the span of ci – 12j and 7i - 6j? If c # 14, is the vector 2i +…

A: Answer