The conclusion v₁=v₂ can not be made. Let u=(1,1,1),v₁=(2,3,-5),v₂=(4,-1,-3). The dot product of u.v₁=uv₂ is satisfied,but v₁≠v₂.The correct answer is c.
<h3>What is dot product?</h3>
The dot product, also known as the scalar product, is an algebraic operation that yields a single integer from two equal-length sequences of numbers.
The dot product of two vectors' Cartesian coordinates is commonly used in Euclidean geometry.
Because there may be more than the 1 vectors satisfying the expression.
![\rm uv_1 = 1 \times 2 +1 \times 3 +1 \times(-5)=0](https://tex.z-dn.net/?f=%5Crm%20uv_1%20%20%3D%201%20%5Ctimes%202%20%2B1%20%5Ctimes%203%20%2B1%20%5Ctimes%28-5%29%3D0)
![\rm uv_2= 4-1-3 =0](https://tex.z-dn.net/?f=%5Crm%20uv_2%3D%204-1-3%20%3D0)
The v₁ is not found equal to the v₂.
The conclusion v₁=v₂ can not be made. Let u=(1,1,1),v₁=(2,3,-5),v₂=(4,-1,-3). The dot product of u.v₁=uv₂ is satisfied,but v₁≠v₂.The correct answer is c.
Hence, the correct answer is c.
To learn more about the dot product, refer to the link;
brainly.com/question/26550859
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