Question

a = 2i - j + k, b = i - 3j - 5k. Find the vector c such that a, b and c form the sides of a triangle.

Answer 1

ANSWER: c = 3i - 4j - 4k

Given vectors are

a = 2i - j + k,

b = i - 3j - 5k

The vector "c" must be such a vector that these three vectors form the sides of a triangle.

The third vector can be found by the Triangle Law of Addition of Vectors which states that If two vectors are represented by the two sides of a triangle, then the third side is equal to the sum of these vectors.

It is same as Head to Tail rule.

So

c = a + b

c = 2i - j + k + i - 3j - 5k

c = 3i - 4j - 4k

Answer 2

Answer:

3i-4j-4k is answer

Step-by-step explanation:

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