Algebra Archive: Questions from February 06, 2024
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Question 3\\nIf vec(u)=3vec(i)-3vec(j)+5vec(k) and vec(w)=2vec(j)+4vec(k) , find the dot product of vec(u) and vec(w),vec(u)*vec(w) ,\\n vec(u)*vec(w)=
If \( \vec{u}=3 \vec{i}-3 \vec{j}+5 \vec{k} \) and \( \vec{w}=2 \vec{j}+4 \vec{k} \), find the dot product of \( \vec{u} \) and \( \vec{w}, \vec{u} \cdot \vec{w} \), \[ \vec{u} \cdot \vec{w}= \]1 answer -
Let\\n vec(A)=hat(x)-2hat(z)\\nvec(B)=3xyhat(x)+xy^(2)z^(2)hat(y)-4x^(2)yz^(2)hat(z)\\nvec(C)=3y^(2)zhat(x)-5xyzhat(y)+y^(2)zhat(z) \\nFind\\n vec(A)-2vec(B)= \\n vec(A)*vec(B)= \\n vec(B)*vec(C)= \\n
Let \[ \begin{array}{l} \vec{A}=\hat{x}-2 \hat{z} \\ \vec{B}=3 x y \hat{x}+x y^{2} z^{2} \hat{y}-4 x^{2} y z^{2} \hat{z} \\ \vec{C}=3 y^{2} z \hat{x}-5 x y z \hat{y}+y^{2} z \hat{z} \end{array} \] Fin1 answer -
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