Find u x v and show that it is orthogonal to both u and v. (-3, 0, 1) (8, -2, 0) u = V = The cross product of the vectors u = (u1, U2, u3) and v = (V1, V2, V3) is given by a de %D i k U2 u x v = V1 V3

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A: The dot product and addition of two vectors is given by Given…

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A: We have to determine that the given vectors are parallel , orthogonal , or neither.          (a) A→…

Q: find the value of k for which the vectors u and v are orthogonal.  u = 2i - kj v = 3i + 2j

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Q: Decompose v into two vectors, v1 and V2, where v is parallel to w and v2 is orthogonal to w. v=i+j,…

A: A vector parallel to w can be obtained from the following formula, v1=v.ww2w and the other vector…

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: Verify the Pythagorean Theorem for the vectors u and v.u = (3, −2), v = (4, 6)

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Q: Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and v2 is…

A: v=2i+4j  and  w=-3i+6j. Now, v·w=2i+4j·-3i+6j=2-3+46=-6+24=18 & w=-32+62=45=35 Therefore,…

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Q: a) Find the value(s) of c for which the following vectors vị = ,v2 = --- 1 and v4 are linearly…

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A: We use the definition of the linear combination of vectors to answer the given question.

Q: Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and v2 is…

A: If v and w are two non zero vectors, the vector projection of v onto w is  projwv=v.ww2w Substitute…

Q: Let v = 2i - 5j and w = i - j.Decompose v into two vectors, v1 and v2, where v1 is parallel to w and…

A: v=2i-5j  and  w=i-j. Now, v·w=2i-5j·i-j=21+-5-1=2+5=7 & w=12+-12=2

Q: 3. Find the angles between the vectors: u = 2i + j, v= i + 2j – k а. b. u = 2i – 2j + k, v = 3i + 4k

A: Angle between two vectors, θ=cos-1u→.v→|u→| |v|→ a)  u→.v→=2i+j.i+2j-k       =2+2 u→.v→=4 |u→|=22+12…

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Q: (b) y =u°+In(2u), where u = e 4. Consider the vectors u,v and w are defined as u = -i+2j+2k, v =…

A: 4. Given the vectors u , v , w.

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A: The given question has been solved in detail.

Q: Find a vector orthogonal to both given vectors u and v . u=2i-3j +k  v= -3i +4 j +4k

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Q: Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and v2 is…

A: we have to find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and…

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Q: Find the distance between vectors u and v, where u = (3, –1,2, 0), v = (1, 1, 1, 3); (u, v) = u = u…

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Q: Use the vectors u = (4, 4), v = (-7, 2), and w = (4, –1) to find the indicated quantity. (u · v) –…

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Q: Find u x v for the given vectors. u = i -2j +3k, v = -2i +2j +3 k u x v = ai +bj +ck where a=], b=],…

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A: Topic- vector cross product

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A: In the question it is asked to write the vector for the given equations. w-x-y-3z=05w+2x+y+3z=0 AS…

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Q: Given v = 3i - 2j, w = 2i + j, find projw v. Then decompose v into two vectors, v1 and v2, where v1…

A: Given that, The vectors  v = 3i - 2j, w = 2i + j. We have to find projw v By using a formula, projw…

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A: Find the value s of x for which the vectors are orthogonal

Q: B. Find the value of the constant ß such that the vectors: u = ßi + 11j – 3k and 2ßi – Bj – 5k, are…

A: See the attachment. Send your feedback.

Q: Find the cross products uxv and vxu for the the vectors u=2i-j-2k and v= i +3j-2k.

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Q: Q1. A- Find the cross product (uxv) of vector (u = i – 2j + 5k) and vector ( v=). Are the two…

A: Topic = Vector If the cross product of two vectors is zero it means both are parallel to each other.

Q: Let u and v be n x 1 vectors. Then their dot product is u · v = u v". Select one: O True False

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Q: What is the dependence on the following vectors: u=(3.0.1), v=(1,-1,0) and w=(1.0.1) thanks!

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Q: 3. Find the angles between the vectors: a. u = 2i + j, b. u = 2i – 2j + k, v = 3i + 4k v = i + 2j –…

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