Question

The vector having magnitude equal to 3 and perpendicular to two vectors A=2i+2j+k and B - 2i – 2j+3k is
(A) +(21-j-2k)
(B) +(3i+j-2k)
(C) -(3u–3–3k)
(D) (3i-j- 3k)​

Answer 1

Answer :

• Here we could actually use a shortcut and easily arrive at the final answer. If we have a look at options & if we just find the one whose magnitude is equal to 3, then it would be the answer.

So, for Option A :

➞ Magnitude of a vector = √(a²+b²+c²...)

➞ A = √(2²+1²+2²)

➞ A = √(4+1+4)

➞ A = √9

➞ A = 3

• Similarly if you calculate for the remaining options we would find that the magnitudes of those ar not equal to 3.
• So we may directly conclude that the final answer is Option A

Answer 2

Given :-

• The vector having magnitude equal to 3 and perpendicular to two vectors A = 2î + 2ĵ + k^ and B = 2î - 2ĵ + 3k^.

To Find :-

• Vector?

Solution :-

• Option (A)

Given vector: 2î + ĵ + 2k^

Finding its magnitude,

➡ Magnitude = √(2² + 1² + 2²)

➡ Magnitude = √(2 × 2 + 1 × 1 + 2 × 2)

➡ Magnitude = √(4 + 1 + 4)

➡ Magnitude = √(8 + 1)

➡ Magnitude = √(9)

➡ Magnitude = √(3 × 3)

➡ Magnitude = 3

• Hence, vector 2î + ĵ + 2k^ have magnitude 3. So, required vector is option (A) 2î + ĵ + 2k^.

Learn more :-

Question:

The vectors 5i+ 8j and 2i+ 7jare added. The magnitude of the sum of these vector is

• [a] √274
• [b] 38
• [c] 238
• [d] 560

Answer:

• brainly.in/question/42435326

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• Find magnitude of sum of given two vectors.

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• brainly.in/question/45839997

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• A body is moving from position coordinate(2,4) to position coordinate(3,5).Find its displacement vector.

Answer:

• brainly.in/question/46177252

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