Find the vector that should be added to the sum of 2- - 5- - 3k- and 4- - 7-4k- to give a unit vector along the x-axis-

Unit vector has magnitude equal to 1 .x direction : #160; #160;Let the vector to be added in x direction be cî .So, #160; #160; 1 = 2+4+c ...

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Standard XII

Mathematics

Linear Combination of Vectors

Find the vect...

Question

Find the vector that should be added to the sum of $(2^i - 5^j + 3^k)$ and $(4^i + 7^j - 4^k)$ to give a unit vector along the x-axis.

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Solution

Unit vector has magnitude equal to $1$ .
x-direction :
Let the vector to be added in x direction be $c^i$ .
So, $1 = 2 + 4 + c$
Or $c = - 5$
So, vector ti be added is $- 5^i$

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Find the vector that should be added to the sum of (2^i−5^j+3^k) and (4^i+7^j−4^k) to give a unit vector along the x-axis.

Unit vector has magnitude equal to 1.x-direction : Let the vector to be added in x direction be c^i.So, 1=2+4+cOr c=−5So, vector ti be added is −5^i

Find the vector that should be added to the sum of $(2^i - 5^j + 3^k)$ and $(4^i + 7^j - 4^k)$ to give a unit vector along the x-axis.

Unit vector has magnitude equal to $1$ .
x-direction :
Let the vector to be added in x direction be $c^i$ .
So, $1 = 2 + 4 + c$
Or $c = - 5$
So, vector ti be added is $- 5^i$