Let u, v, and w be vectors, and let a be a scalar. Prove the given property. (u + v) · w = u·w + v. w Let = (u1, u2), = (V1, v2), and w - (w1, w2). Then V = (lu1, u2) + (v1, v2)) · (w1, w2) ). (w1, w2) (u + v) · w = = U1W1 + V1W1 + %3D u1W1 + uzw2 + = (u1, u2) · ( (V1, v2) · %3D = u. W + v• w.

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A: Please check step 2 for solution.

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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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A: According to bartleby expert policy only one individual question is to be answered. Kindly repost…

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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…

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A: Linear Algebra: The vectors are: v1=112-2v2=2112Let denote the vector v3=v1v2v3v4

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

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A: The detailed solution is given below Thank you

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A: v=2i+4j  &  w=-2i+6j Now, v·w=2-2+46=20 & w=-22+62=40 Now,…

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Q: Linear algebra

A: From the given information:Let,

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