Question

Determine the value of y so that u=2i+yj+k and v = 4i -2j -2k are perpendicular. Find y

2
4
1
3

Answer 1

Answer on Question #46934 – Math – Vector Calculus

Question:

Determine the value of $y$ so that $u = 2i + yj + k$ and $v = 4i - 2j - 2k$ are perpendicular. Find $y$

2

4

1

3

Solution:

If two vectors are perpendicular, then the dot product should be equal to zero:

$$u \cdot v = 2 \cdot 4 + y(-2) + 1(-2) = 0$$ $$6 - 2y = 0$$ $$6 = 2y$$ $$y = 3$$

Answer: 3

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