Question

A vector x when added to the resultant of A= 3i -5j+7k and b= 2i+4j-3k given a unit vector along y axis find vector x

Answer 1

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resultant of A vector and B vector
R = A + B

》( 3i - 5j + 7k ) + ( 2i + 4j - 3k )
》5i - j + 4k

now

☆ R + X = j
☆ 5i - j + 4k + X = j
☆ x = j - 5i + j - 4k
☆ x = -5i + 2j - 4k ☆

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@vishalsaini

Answer 2

Answer: The correct answer is -5i + 2j - 4k.

Explanation:

Calculate the resultant vector A and b.

R= A+b

It is given in the problem that A= 3i -5j+7k and b= 2i+4j-3k.

R= (3i -5j+7k)+(2i+4j-3k)

R= 5i-j+4k

It is given in the problem that A vector x when added to the resultant of A= 3i -5j+7k and b= 2i+4j-3k.

R+x=j

Put R= 5i-j+4k .

(5i-j+4k)+x=j

x= j - 5i + j - 4k

x= -5i + 2j - 4k

Therefore, the vector x is -5i + 2j - 4k.