Question

If the vectors 3i+2j-k and 6i-4xj+yk are parallel then the value of "x" and "y" will be:

Answer 1

Answer:

refer to attachment...

Answer 2

Answer:

-1 and -2 is the required value of x and y .

Step-by-step explanation:

Explanation:

Given , $3i +2j -k$ and $6i - 4xy + yk$ are two parallel vector .

Two vectors a and b are said to be parallel if their cross product is a zero vector.

Step 1:

$3i +2j -k$  ..........(i)

$6i - 4xj + yk$ ..........(ii)

According to the question given vectors are parallel

Property of  when two vectors are parallel  ,

$\frac{x_1}{x_2} =\frac{y_1}{y_2} = \frac{z_1}{z_2}$

Therefore , $\frac{3}{6} =\frac{2}{-4x} = \frac{-1}{y}$

⇒$\frac{3}{6} =\frac{2}{-4x}$       and $\frac{3}{6} = \frac{-1}{y}$

⇒ -12x = 12      and 3y = -6

⇒x = -1    and y = -2

Final answer:

Hence , the value of x is -1 and value of y is -2 .

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