NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXI04:MOTION IN A PLANE
361771
Minimum numbers of unequal vectors which can give zero resultant are
1 two
2 three
3 four
4 more than four
Explanation:
By triangle law of vectors, minimum three vectors are required to give zero resultant, for vectors having unequal magnitude.
PHXI04:MOTION IN A PLANE
361772
Assertion : Vector addition of two vectors \({\vec A}\) and \({\vec B}\) is commutative. Reason : \(\vec A + \vec B = \vec B + \vec A\)
1 Both assertion and reason are correct and reason isthe correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Vector addition of two vectors is commutative i.e., \(\vec A + \vec B = \vec B + \vec A\) Option (1) is correct.
PHXI04:MOTION IN A PLANE
361773
If \(\vec A = 4\hat i - 3\hat j\) and \(\vec B = 6\hat i + 8\hat j\) then magnitude and direction of \(\vec A + \vec B\) from \( + \,x\) axis will be
1 \(5,{\tan ^{ - 1}}(3/4)\)
2 \(5\sqrt 5 ,{\tan ^{ - 1}}(1/2)\)
3 \(10,{\tan ^{ - 1}}(5)\)
4 \(25,{\tan ^{ - 1}}(3/4)\)
Explanation:
\(\vec A + \vec B = 4\hat i - 3\hat j + 6\hat i + 8\hat j = 10\hat i + 5\hat j\) \(\left| {\vec A + \vec B} \right| = \sqrt {{{(10)}^2} + {{(5)}^2}} = 5\sqrt 5 \) \(\tan \theta = \frac{5}{{10}} = \frac{1}{2} \Rightarrow \theta = {\tan ^{ - 1}}\left( {\frac{1}{2}} \right)\)
PHXI04:MOTION IN A PLANE
361774
Six vectors \(a\) to \(f\) have the magnitudes and directions indicated in the figure. Which of the following statements is true?
1 \(b + c = f\)
2 \(d + c = f\)
3 \(\overrightarrow d + \overrightarrow e = \overrightarrow f \)
4 \(b + e = f\)
Explanation:
If two non-zero vectors are represented by the two adjacent sides of a parallelogram, then the resultant is given by the diagonal of the parallelogram passing through the point of intersection of the two vectors \(\therefore \quad \overrightarrow d + \overrightarrow e = \overrightarrow f \)
361771
Minimum numbers of unequal vectors which can give zero resultant are
1 two
2 three
3 four
4 more than four
Explanation:
By triangle law of vectors, minimum three vectors are required to give zero resultant, for vectors having unequal magnitude.
PHXI04:MOTION IN A PLANE
361772
Assertion : Vector addition of two vectors \({\vec A}\) and \({\vec B}\) is commutative. Reason : \(\vec A + \vec B = \vec B + \vec A\)
1 Both assertion and reason are correct and reason isthe correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Vector addition of two vectors is commutative i.e., \(\vec A + \vec B = \vec B + \vec A\) Option (1) is correct.
PHXI04:MOTION IN A PLANE
361773
If \(\vec A = 4\hat i - 3\hat j\) and \(\vec B = 6\hat i + 8\hat j\) then magnitude and direction of \(\vec A + \vec B\) from \( + \,x\) axis will be
1 \(5,{\tan ^{ - 1}}(3/4)\)
2 \(5\sqrt 5 ,{\tan ^{ - 1}}(1/2)\)
3 \(10,{\tan ^{ - 1}}(5)\)
4 \(25,{\tan ^{ - 1}}(3/4)\)
Explanation:
\(\vec A + \vec B = 4\hat i - 3\hat j + 6\hat i + 8\hat j = 10\hat i + 5\hat j\) \(\left| {\vec A + \vec B} \right| = \sqrt {{{(10)}^2} + {{(5)}^2}} = 5\sqrt 5 \) \(\tan \theta = \frac{5}{{10}} = \frac{1}{2} \Rightarrow \theta = {\tan ^{ - 1}}\left( {\frac{1}{2}} \right)\)
PHXI04:MOTION IN A PLANE
361774
Six vectors \(a\) to \(f\) have the magnitudes and directions indicated in the figure. Which of the following statements is true?
1 \(b + c = f\)
2 \(d + c = f\)
3 \(\overrightarrow d + \overrightarrow e = \overrightarrow f \)
4 \(b + e = f\)
Explanation:
If two non-zero vectors are represented by the two adjacent sides of a parallelogram, then the resultant is given by the diagonal of the parallelogram passing through the point of intersection of the two vectors \(\therefore \quad \overrightarrow d + \overrightarrow e = \overrightarrow f \)
361771
Minimum numbers of unequal vectors which can give zero resultant are
1 two
2 three
3 four
4 more than four
Explanation:
By triangle law of vectors, minimum three vectors are required to give zero resultant, for vectors having unequal magnitude.
PHXI04:MOTION IN A PLANE
361772
Assertion : Vector addition of two vectors \({\vec A}\) and \({\vec B}\) is commutative. Reason : \(\vec A + \vec B = \vec B + \vec A\)
1 Both assertion and reason are correct and reason isthe correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Vector addition of two vectors is commutative i.e., \(\vec A + \vec B = \vec B + \vec A\) Option (1) is correct.
PHXI04:MOTION IN A PLANE
361773
If \(\vec A = 4\hat i - 3\hat j\) and \(\vec B = 6\hat i + 8\hat j\) then magnitude and direction of \(\vec A + \vec B\) from \( + \,x\) axis will be
1 \(5,{\tan ^{ - 1}}(3/4)\)
2 \(5\sqrt 5 ,{\tan ^{ - 1}}(1/2)\)
3 \(10,{\tan ^{ - 1}}(5)\)
4 \(25,{\tan ^{ - 1}}(3/4)\)
Explanation:
\(\vec A + \vec B = 4\hat i - 3\hat j + 6\hat i + 8\hat j = 10\hat i + 5\hat j\) \(\left| {\vec A + \vec B} \right| = \sqrt {{{(10)}^2} + {{(5)}^2}} = 5\sqrt 5 \) \(\tan \theta = \frac{5}{{10}} = \frac{1}{2} \Rightarrow \theta = {\tan ^{ - 1}}\left( {\frac{1}{2}} \right)\)
PHXI04:MOTION IN A PLANE
361774
Six vectors \(a\) to \(f\) have the magnitudes and directions indicated in the figure. Which of the following statements is true?
1 \(b + c = f\)
2 \(d + c = f\)
3 \(\overrightarrow d + \overrightarrow e = \overrightarrow f \)
4 \(b + e = f\)
Explanation:
If two non-zero vectors are represented by the two adjacent sides of a parallelogram, then the resultant is given by the diagonal of the parallelogram passing through the point of intersection of the two vectors \(\therefore \quad \overrightarrow d + \overrightarrow e = \overrightarrow f \)
361771
Minimum numbers of unequal vectors which can give zero resultant are
1 two
2 three
3 four
4 more than four
Explanation:
By triangle law of vectors, minimum three vectors are required to give zero resultant, for vectors having unequal magnitude.
PHXI04:MOTION IN A PLANE
361772
Assertion : Vector addition of two vectors \({\vec A}\) and \({\vec B}\) is commutative. Reason : \(\vec A + \vec B = \vec B + \vec A\)
1 Both assertion and reason are correct and reason isthe correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Vector addition of two vectors is commutative i.e., \(\vec A + \vec B = \vec B + \vec A\) Option (1) is correct.
PHXI04:MOTION IN A PLANE
361773
If \(\vec A = 4\hat i - 3\hat j\) and \(\vec B = 6\hat i + 8\hat j\) then magnitude and direction of \(\vec A + \vec B\) from \( + \,x\) axis will be
1 \(5,{\tan ^{ - 1}}(3/4)\)
2 \(5\sqrt 5 ,{\tan ^{ - 1}}(1/2)\)
3 \(10,{\tan ^{ - 1}}(5)\)
4 \(25,{\tan ^{ - 1}}(3/4)\)
Explanation:
\(\vec A + \vec B = 4\hat i - 3\hat j + 6\hat i + 8\hat j = 10\hat i + 5\hat j\) \(\left| {\vec A + \vec B} \right| = \sqrt {{{(10)}^2} + {{(5)}^2}} = 5\sqrt 5 \) \(\tan \theta = \frac{5}{{10}} = \frac{1}{2} \Rightarrow \theta = {\tan ^{ - 1}}\left( {\frac{1}{2}} \right)\)
PHXI04:MOTION IN A PLANE
361774
Six vectors \(a\) to \(f\) have the magnitudes and directions indicated in the figure. Which of the following statements is true?
1 \(b + c = f\)
2 \(d + c = f\)
3 \(\overrightarrow d + \overrightarrow e = \overrightarrow f \)
4 \(b + e = f\)
Explanation:
If two non-zero vectors are represented by the two adjacent sides of a parallelogram, then the resultant is given by the diagonal of the parallelogram passing through the point of intersection of the two vectors \(\therefore \quad \overrightarrow d + \overrightarrow e = \overrightarrow f \)
