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v = 4i + 2j - 5k ,w = 5i + 5j + 2k ,u = 3i + 2j - 5k Find w (v x u).
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is it\[w.(v \times u)\]
u hv to put a dot sign after w
\[v \times u=(4i+2j-5k)(3i+2j-5k)=12(i \times i)+8(i \times j)-20(i \times k)+6(j \times i)+4(j \times j)-10(j \times k)\]
\[-15(k \times i)-10(k \times j)+25(k \times k)\]
u know that\[i \times i=1 \times 1\times \sin0=0\]
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in the same way \[j \times j=0 \]
\[k \times k=0\]
so the result will b\[8k+20j-6k-10i-15j+10i=5j+2k\]
if u want then i wanna do the rest of this math
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