MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>EXERCISE>Q 37

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12th CBSE

IMPORTANT

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If ${|\vec{a} \times \vec{b}|}^{2} + {|\vec{a} \cdot \vec{b}|}^{2} = 400$ and $|\vec{a}| = 5,$ then write the value of $|\vec{b}| .$

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Important Questions on Vector or Cross Product

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>EXERCISE>Q 38

If

θ

is the angle between two vectors

\hat{i} - 2 \hat{j} + 3 \hat{k}

and

3 \hat{i} - 2 \hat{j} + \hat{k}

, then

\sin θ = \frac{2}{7} \sqrt{k}

. Find the value of

k

.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 1

Define vector product of two vectors.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 2

Write the value

(\hat{i} \times \hat{j}) \cdot \hat{k} + \hat{i} \cdot \hat{j}

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 3

Write the value of

\hat{i} \cdot (\hat{j} \times \hat{k}) + \hat{j} \cdot (\hat{k} \times \hat{i}) + \hat{k} \cdot (\hat{j} \times \hat{i})

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 4

Write the value of

\hat{i} \cdot (\hat{j} \times \hat{k}) + \hat{j} \cdot (\hat{k} \times \hat{i}) + \hat{k} \cdot (\hat{i} \times \hat{j})

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 5

Write the value of

\hat{i} \times (\hat{j} + \hat{k}) + \hat{j} \times (\hat{k} + \hat{i}) + \hat{k} \times (\hat{i} + \hat{j})

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 6

Write the expression for the area of the parallelogram having

\vec{a}

and

\vec{b}

as its diagonals.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 7

For any two vectors

\vec{a}

and

\vec{b}

write the value of

{(\vec{a} . \vec{b})}^{2} + {|\vec{a} \times \vec{b}|}^{2}

in terms of their magnitudes.