If vectors $\stackrel{\to }{\mathrm{A}}=\mathrm{cos\omega t}\stackrel{^}{\mathrm{i}}+\mathrm{sin\omega t}\stackrel{^}{\mathrm{j}}$ and  are functions of time. Then, at what value of t are they orthogonal to one another?

1. $\mathrm{t}=\frac{\mathrm{\pi }}{4\mathrm{\omega }}$

2. $\mathrm{t}=\frac{\mathrm{\pi }}{2\mathrm{\omega }}$

3. $\mathrm{t}=\frac{\mathrm{\pi }}{\mathrm{\omega }}$

4. $\mathrm{t}=0$

Subtopic:  Scalar Product |
To view explanation, please take trial in the course below.
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To view explanation, please take trial in the course below.
NEET 2023 - Target Batch - Aryan Raj Singh
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Six vectors $\stackrel{\to }{\mathrm{a}}$ through $\stackrel{\to }{\mathrm{f}}$ have the magnitudes and directions indicated in the figure. Which of the following statements is true?

1. $\stackrel{\to }{\mathrm{b}}+\stackrel{\to }{\mathrm{c}}=\stackrel{\to }{\mathrm{f}}$

2. $\stackrel{\to }{\mathrm{d}}+\stackrel{\to }{\mathrm{c}}=\stackrel{\to }{\mathrm{f}}$

3. $\stackrel{\to }{\mathrm{d}}+\stackrel{\to }{\mathrm{e}}=\stackrel{\to }{\mathrm{f}}$

4. $\stackrel{\to }{\mathrm{b}}+\stackrel{\to }{\mathrm{e}}=\stackrel{\to }{\mathrm{f}}$

Subtopic:  Resultant of Vectors |
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Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is

1.

2.

3.

4.

Subtopic:  Resultant of Vectors |
To view explanation, please take trial in the course below.
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$\stackrel{\to }{\mathrm{A}}$ and $\stackrel{\to }{\mathrm{B}}$ are two vectors and θ is the angle between them. If $\left|\stackrel{\to }{\mathrm{A}}×\stackrel{\to }{\mathrm{B}}\right|=\sqrt{3}\left(\stackrel{\to }{A}.\stackrel{\to }{B}\right)$, then the value of θ will be:

1. 60o

2. 45o

3. 30o

4. 90o

Subtopic:  Scalar Product | Vector Product |
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The vectors  are such that: $\left|\stackrel{\to }{\mathrm{A}}+\stackrel{\to }{\mathrm{B}}\right|=\left|\stackrel{\to }{\mathrm{A}}-\stackrel{\to }{\mathrm{B}}\right|$.
The angle between the two vectors is:

1. 90o

2. 60o

3. 75o

4. 45o

Subtopic:  Resultant of Vectors |
To view explanation, please take trial in the course below.
NEET 2023 - Target Batch - Aryan Raj Singh
To view explanation, please take trial in the course below.
NEET 2023 - Target Batch - Aryan Raj Singh