Question: Please answer all questions. Thanks! Problem Set in Vector Algebra Ansew the following problems . Show complete solution 1. Find the magnitude of the vector

Please answer all questions. Thanks!

Problem Set in Vector Algebra Ansew the following problems . Show complete solution 1. Find the magnitude of the vector a? = ( 7 ,-14 , 1 ) 2. Using the concepts of vector algebra, find the dot product between two vectors bythyta and y-34 + 52 . 3. Given two displacement vectors *= (5i-7;tok)m and B' = ( Fit4itat)m . Find the dreplacement and their magnitude for : Ca) C' = A tB ( 6) D = 28 -B 4 . if D = (4 , - 8 ) m , B = ( 18 , - 8:3 ) m , and * = (24 , 10 ) m . find the unknown constants a and b such that aD toB JA O5 Find the magnitude the vector I that satisfies the equation 24 - 6B + 3 6 = 24, where A = X - Zz and 2 a. If the velocity vector of a car is V = (51 16it0. 3k km what is the unit rector of it's direction motion

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