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प्रश्न
Represent graphically the displacement of 45 cm, 30° north of east
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उत्तर
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संबंधित प्रश्न
If `bara and barb` are any two non-zero and non-collinear vectors then prove that any vector `barr` coplanar with `bara` and `barb` can be uniquely expressed as `barr = t_1bara + t_2barb` , where t1 and t2 are scalars.
If `|bar("a")|` = 2, `|bar("b")|` = 5, and `bar("a")*bar("b")` = 8 then `|bar("a") - bar("b")|` = ______
Find a unit vector in the opposite direction of `baru`. Where `baru = 8hati + 3hatj- hatk`
A line makes angles α, β, γ with the co-ordinate axes and α + β = 90°, then γ = ______.
If C is the midpoint of AB and P is any point outside AB, then ______
If a = `veca = hati + hatj - 2hatk, vecb = 2hati - hatj + hatk` and `vecc = 3hati - hatk` and `vecc = mveca + nvecb`, then m + n is equal to ______.
If `veca = hati - hatj + hatk, vecb = 2hati + λhatj + hatk, vecc = hati - hatj + 4hatk` and `veca.(vecb xx vecc)` = 10, then λ is equal to ______.
Let a = `hati + 2hatj + hatk`, b = `hati - hatj + hatk`, c = `hati + hatj - hatk`. A vector coplanar to a and b has a projection along with c of magnitude `1/sqrt(3)`, then the vector is ______.
If a, b and c are three non-zero vectors which are pairwise non-collinear. If a + 3b is collinear with c and b + 2c is collinear with a, then a + 3b + 6c is ______.
The position vectors of vertices of ΔABC are `4hati - 2hatj; hati + 4hatj - 3hatk` and `-hati + 5hatj + hatk` respectively, then ∠ABC = ______.
The area of the triangle with vertices (1, 2, 0), (1, 0, 2) and (0, 3, 1) in sq. unit is ______.
In the triangle PQR, `bar("PQ") = 2bar "a"` and `bar("QR") = 2bar "b".` The mid-point of PR is M. Find the following vectors in terms of `bar "a" "and" bar"b"`.
In the triangle PQR, `\overline"PQ"` = 2`\overline"a"` and `\overline"QR"` = 2`\overline"b"`. The mid-point of PR is M. Find the following vectors in terms of `\overline"a"` and `\overline "b"`.
- `\overline"PR"`
- `\overline"PM"`
- `\overline"QM"`
Check whether the vectors `2hati + 2hatj+3hatk,-3hati+3hatj+2hatk` and `3hati+4hatk` form a triangle or not.
Check whether the vectors `2 hati+2hatj+3hatk-3hati+3hatj+2hatk and 3hati+4hatk`form a triangle or not.
