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2 years ago

Given that vector p=i+2j-2k and q=2i-j+2k, find two vectors m and m satisfying the condition;

Mathematics

1 answer:

Stels [109]2 years ago

6 0

9514 1404 393

Answer:

m = j +k
n = 2i +k

Step-by-step explanation:

There are <em>an infinite number of possibilities</em>. Any vector whose dot-product with p is zero will be perpendicular to p.

Let m = 0i +1j +ak. Then we require ...

m·p = 0 = 0×1 +1×2 +a(-2) ⇒ 0 = 2 -2a ⇒ a = 1

m = 0i +1j +1k

Let n = 2i +0j +bk

n·p = 0 = 2×1 +0×2 +b(-2) ⇒ 2 -2b = 0 ⇒ b = 1

n = 2i +0j +1k

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