Vectors

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Question 37

Consider the vectors $u=−2i+5j+8k\mathbf{u} = -2\mathbf{i} + 5\mathbf{j} + 8\mathbf{k}$ and $v=xi+yj+zk\mathbf{v} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}$ .

Given that the sum of vectors $u\mathbf{u}$ and $v\mathbf{v}$ is $−7i−j+3k-7\mathbf{i} - \mathbf{j} + 3\mathbf{k}$ , determine the values of $x$ , $y$ , and $z$ .

[3]

Vectors

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Question 37

Consider the vectors $u=−2i+5j+8k\mathbf{u} = -2\mathbf{i} + 5\mathbf{j} + 8\mathbf{k}$ and $v=xi+yj+zk\mathbf{v} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}$ .

Given that the sum of vectors $u\mathbf{u}$ and $v\mathbf{v}$ is $−7i−j+3k-7\mathbf{i} - \mathbf{j} + 3\mathbf{k}$ , determine the values of $x$ , $y$ , and $z$ .

[3]

Vectors

Question 37

Vectors Questions

Vectors

Question 37

Vectors Questions