MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 13 - Vectors>Classical Thinking>Q 27

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If $\vec{a}, \vec{b}, \vec{c}$ are non-coplanar vectors, then $[\vec{a} + 2 \vec{b} \vec{a} + \vec{c} \vec{b}] =$

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Important Questions on Vectors

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 13 - Vectors>Classical Thinking>Q 28

If

\vec{a}, \vec{b}, \vec{c}

are three non-coplanar vectors, then three points with position vectors

\vec{a} - 2 \vec{b} + 3 \vec{c}, 2 \vec{a} + m \vec{b} - 4 \vec{c}

and

- 7 \vec{b} + 10 \vec{c}

will be collinear if

m

equals

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 13 - Vectors>Classical Thinking>Q 29

The vectors

\hat{i} + 2 \hat{j} + 3 \hat{k}, λ \hat{i} + 4 \hat{j} + 7 \hat{k}

and

- 3 \hat{i} - 2 \hat{j} - 5 \hat{k}

are collinear, if

λ

equals

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 13 - Vectors>Classical Thinking>Q 30

If

\vec{a}, \vec{b}, \vec{c}

are any vectors, then which of these sets of vectors are coplanar

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 13 - Vectors>Classical Thinking>Q 31

If

\vec{a} = \hat{i} - \hat{j} + \hat{k}, \vec{b} = \hat{i} + 2 \hat{j} - \hat{k}

and

\vec{c} = 3 \hat{i} + p \hat{j} + 5 \hat{k}

are coplanar then the value of

p

will be

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 13 - Vectors>Classical Thinking>Q 32

If the vectors

\hat{i} + 3 \hat{j} - 2 \hat{k}, 2 \hat{i} - \hat{j} + 4 \hat{k}

and

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

are coplanar, then the value of

x

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 13 - Vectors>Classical Thinking>Q 33

If vectors

\hat{i} + \hat{j} + \hat{k}, \hat{j} - \hat{i}, \hat{i} + 2 \hat{j} + a \hat{k}

are coplanar, then

a

is equal to

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 13 - Vectors>Classical Thinking>Q 34

For any vectors

\vec{a}, \vec{b}, \vec{c},

correct statement is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 13 - Vectors>Classical Thinking>Q 35

[\vec{a} \vec{b} \vec{a} \times \vec{b}]

is equal to