Q. 155.0( 1 Vote )

If <span lang="EN

Answer :

Given,

To Find: Find a vector which is parallel to


Explanation:


And, Let Assume


So,




Since ,




Now,



The magnitude of the required vector is 6 units given, then




Hence, The required vector is


OR


Given,


To find: Find a vector d which is perpendicular to both


Explanation: we have


and, is perpendicular to both


Since, - - - (i)


And, - - - (ii)


Let us Assume vector


Therefore,



X + 4y + 2z = 0


Also,



3x - 2y + 7z = 0


On solving the above equation,





It is given that


2x - y + 4z = 18


2(32p) - ( - p) + 4( - 14p) = 18


64p + p - 56p = 18


9p = 18


p = 2


So, That x = 64 , y = - 2 , z = - 28


Therefore,


Hence, The vector


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