Vector Algebra

Question

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Find the magnitude of each of the two vectors $\vec{a} and \vec{b}$ , having the same magnitude such that the angle between them is 60^o and their scalar product is 9/2.

Solution

Given that,

$| \vec{a} | = | \vec{b |} θ = 60 ° and \vec{a} . \vec{b} = \frac{9}{2}$

As, we know that,

$\vec{a} . \vec{b} = | \vec{a} | | \vec{b} | \cos θ where θ is the angle between \vec{a} and \vec{b} ∴ \frac{9}{2} = | \vec{a} |^{2} \cos 60^{o} (∵ | \vec{a} | = | \vec{b} |) \Rightarrow \frac{9}{2} = | \vec{a} |^{2} . \frac{1}{2} \Rightarrow 9 = | \vec{a} |^{2} ∴ | \vec{a} | = 3$

Hence, the magnitude of each of the vectors $\vec{a} and \vec{b}$ is 3.

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Vector Algebra

Find the magnitude of each of the two vectors $\vec{a} and \vec{b}$ , having the same magnitude such that the angle between them is 60^o and their scalar product is 9/2.

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For Daily Free Study Material Join wiredfaculty

Vector Algebra

Find the magnitude of each of the two vectors a→ and b→, having the same magnitude such that the angle between them is 60o and their scalar product is 9/2.

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Classify the following measures as scalars and vectors.10 kg

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Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the magnitude of each of the two vectors $\vec{a} and \vec{b}$ , having the same magnitude such that the angle between them is 60^o and their scalar product is 9/2.

Classify the following measures as scalars and vectors.
10 kg

Classify the following measures as scalars and vectors.
2 meters north-west

Classify the following measures as scalars and vectors.
40°

Classify the following measures as scalars and vectors.
40 watt

Classify the following measures as scalars and vectors.
10^–19 coulomb

Classify the following measures as scalars and vectors.
20 m/s²

Classify the following measures as scalars and vectors.
time period

Classify the following measures as scalars and vectors.
distance

Classify the following measures as scalars and vectors.
force

Classify the following measures as scalars and vectors.
velocity