Question

The modulus of the vector 7 i-2 j+ k is​

Answer 1

Answer:

54 under square root.

Step-by-step explanation:

The modulus of the vector 7I --2j + k is

| 7I-2j + k | = ( 49 +4 +1 )^1/2 = (54)^1/2

Answer 2

Answer: The modulus of the given vector is 3√6 units.

Given a vector 7i - 2j + k

The modulus of the given vector is to be found.

As, the modulus of any vector ai + bj + ck,

modulus = √(a² + b² + c²)

modulus = √(7² + (-2)² + 1²)

modulus = √(49 + 4 + 1)

modulus = √54

the prime factorization of 54 be,

54 = 2×3×3×3

√54 = 3√6

The modulus of the given vector is 3√6 units.

To conclude in one sentence, the modulus of the given vector is 3√6 units.

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