MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 18

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12th CBSE

IMPORTANT

Earn 100

If $\vec{r} = x \hat{i} + y \hat{j} + z \hat{k},$ then write the value of ${|\vec{r} \times \hat{i}|}^{2} .$

Important Questions on Vector or Cross Product

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 19

If

\vec{a}

and

\vec{b}

are unit vectors such that

\vec{a} \times \vec{b}

is also a unit vector, then the angle between

\vec{a}

and

\vec{b}

is

k π

. Find the value of

k

.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 20

If

\vec{a}

and

\vec{b}

are two vectors such that

|\vec{a} \cdot \vec{b}| = |\vec{a} \times \vec{b}|,

then the angle between

\vec{a}

and

\vec{b}

is

k π

. Find the value of

k

.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 21

If

\vec{a}

and

\vec{b}

are unit vectors, then write the value of

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

.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 22

If

\vec{a}

is a unit vector such that

\vec{a} \times \hat{i} = \hat{j}

, find

\vec{a} . \hat{i}

.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 23

If

\vec{c}

is a unit vector perpendicular to the vectors

\vec{a}

and

\vec{b}

write another unit vector perpendicular to

\vec{a}

and

\vec{b}

.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 24

If angle between two vectors

\vec{a}

and

\vec{b}

with magnitudes

1

and

2

respectively and when

| \vec{a} \times \vec{b} | = \sqrt{3}

is

k π

, then the value of

k

is

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 25

Vectors

\vec{a}

and

\vec{b}

are such that

| \vec{a} | = \sqrt{3}, | \vec{b} | = \frac{2}{3}

and

(\vec{a} \times \vec{b})

is a unit vector. If the angle between

\vec{a}

and

\vec{b}

is

k π

, then the value of

k

is

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 6 - Vector or Cross Product>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 26

Find

λ

, if

(2 \hat{i} + 6 \hat{j} + 14 \hat{k}) \times (\hat{i} - λ \hat{j} + 7 \hat{k}) = \vec{0}