Questions in vectors

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Which of the following is a vector
If $\vec P = \vec Q$then which of the following is NOT correct
The position vector of a particle is $\vec r = (a\cos \omega t)\hat i + (a\sin \omega t)\hat j$. The velocity of the particle is
Which of the following is a scalar quantity
If a unit vector is represented by $0.5\hat i + 0.8\hat j + c\hat k$, then the value of ‘c’ is
A boy walks uniformally along the sides of a rectangular park of size 400 m× 300 m, starting from one corner to the other corner diagonally opposite. Which of the following statement is incorrect
The unit vector parallel to the resultant of the vectors $\vec A = 4\hat i + 3\hat j + 6\hat k$ and $\vec B = - \hat i + 3\hat j - 8\hat k$ is
Surface area is
With respect to a rectangular cartesian coordinate system, three vectors are expressed as $\vec a = 4\hat i - \hat j$, $\vec b = - 3\hat i + 2\hat j$ and $\vec c = - \hat k$ where $\hat i,\,\hat j,\,\hat k$ are unit vectors, along the X, Y and Z-axis respectively. The unit vectors $\hat r$along the direction of sum of these vector is
The angle between the two vectors$\vec A = 3\hat i + 4\hat j + 5\hat k$and $\vec B = 3\hat i + 4\hat j + 5\hat k$ is

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