Let L, be the line given by the intersection of two planes 2x- y+z = 1 and x – y = -2 and let L2 be the line given by parametric equation x = 2 – t L2 : y = 3 – 5t z = t If u denotes the direction...


Let L, be the line given by the intersection of two planes 2x- y+z = 1<br>and x – y = -2 and let L2 be the line given by parametric equation<br>x = 2 – t<br>L2 :<br>y = 3 – 5t<br>z = t<br>If u denotes the direction vector of L1 and uz denotes the direction vector of L2. Then<br>(a) Find the vectors u and uz.<br>(b) Find the dot product of the vectors u and u2.<br>(c) Find the cross product of the vectors u and u2.<br>

Extracted text: Let L, be the line given by the intersection of two planes 2x- y+z = 1 and x – y = -2 and let L2 be the line given by parametric equation x = 2 – t L2 : y = 3 – 5t z = t If u denotes the direction vector of L1 and uz denotes the direction vector of L2. Then (a) Find the vectors u and uz. (b) Find the dot product of the vectors u and u2. (c) Find the cross product of the vectors u and u2.

Jun 05, 2022
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