80 F3 1. Consider the vector n= 3. Let c= - 3 $ (a) Give the...

 

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80 F3 1. Consider the vector n= 3. Let c= - 3₁ $ (a) Give the parametric vector equation of the straight line L through A and B. (b) Give the Cartesian equation of the plane P through A, which n is normal to. (c) Does the line L lie in the plane P? Justify your answer. 2. Consider the lines L₁ and L₂ in R³ given by the parametric equations Q and a = F4 L₁ : % H L₂: Assignment Questions: a FS Determine whether L₁ and L₂ intersect and find the intersection point if they do. 图 be two 5-ary vectors. Find all 5-ary vectors v = = 7 +t vectors v whose components z and y belong to Zs) such that c. (v-a)=0 (mod 5). and the points A (1,-1,3) and B = (1,3,5) in R³. = I 8 y = -13 + s -3 2 <( MacBook Air c F6 2 & I 7 3 ‹ tER, F7 SER. Page < * O 8 2 FB ( 9 > of 2 (i.e., the 3 F9 ) 0 80 F3 1. Consider the vector n= 3. Let c= - 3₁ $ (a) Give the parametric vector equation of the straight line L through A and B. (b) Give the Cartesian equation of the plane P through A, which n is normal to. (c) Does the line L lie in the plane P? Justify your answer. 2. Consider the lines L₁ and L₂ in R³ given by the parametric equations Q and a = F4 L₁ : % H L₂: Assignment Questions: a FS Determine whether L₁ and L₂ intersect and find the intersection point if they do. 图 be two 5-ary vectors. Find all 5-ary vectors v = = 7 +t vectors v whose components z and y belong to Zs) such that c. (v-a)=0 (mod 5). and the points A (1,-1,3) and B = (1,3,5) in R³. = I 8 y = -13 + s -3 2 <( MacBook Air c F6 2 & I 7 3 ‹ tER, F7 SER. Page < * O 8 2 FB ( 9 > of 2 (i.e., the 3 F9 ) 0

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1 There are two points and a vector a We want the parametric equation of the line that passes through the two points X A BAt 113 135113t 113 042t So the parametric equation of the line is X 1 14t 32t ... View the full answer