Advertisements
Advertisements
Question
Represent graphically the displacement of 80 km, 60° south of west
Advertisements
Solution

APPEARS IN
RELATED QUESTIONS
Find a unit vector in the opposite direction of `baru`. Where `baru = 8hati + 3hatj- hatk`
Represent graphically the displacement of 45 cm, 30° north of east
If `(bar"a" + 2bar"b" - bar"c") * [(bar"a" - bar"b") xx (bar"a" - bar"b" - bar"c")] = "k"[bar"a" bar"b" bar"c"]`, then the value of k is
A line makes angles α, β, γ with the co-ordinate axes and α + β = 90°, then γ = ______.
The angle between two adjacent sides `overlinea` and `overlineb` of parallelogram is `pi/6`. if `overlinea` = (2, -2, 1) and `|overlineb| = 2|overlinea|`, then area of this parallelogram is ______
If C is the midpoint of AB and P is any point outside AB, then ______
If `overline (a) =10hat("i") + lambda hat("j") + 2hat("k")` is perpendicular to `overline (b)= hat ("i")+hat("j")-hat("k")`, then λ is equal to ______.
If `veca + vecb = vecc ((λx)hati + yhatj + 4zhatk) + (yhati + xhatj + 3yhatk) = -zhati - 2zhatj - (λ + 1)xhatk` are sides of triangle as shown is figure then value of λ is ______.
(where x, y, z are not all zero)

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 = ______.
If a = `3hati - 2hatj + hatk` and b = `2hati - 4hatj - 3hatk`, then | a – 2b | will be ______.
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"`
In the triangle PQR, `bar(PQ)` = 2 `bara` and `bar(QR)` = 2 `barb`. The mid-point of PR is M. Find the following vectors in terms of `bara` and `barb`.
- `bar(PR)`
- `bar(PM)`
- `bar(QM)`
If \[\begin{bmatrix} 2\overline{p}-3\overline{r} & \overline{q} & \overline{s} \end{bmatrix}+ \begin{bmatrix} 3\overline{p}+2\overline{q} & \overline{r} & \overline{s} \end{bmatrix}\] \[=\mathrm{m}{ \begin{bmatrix} \overline{p} & \overline{r} & \overline{s} \end{bmatrix}}+\mathrm{n}{ \begin{bmatrix} \overline{q} & \overline{r} & \overline{s} \end{bmatrix}}+\mathrm{t}{ \begin{bmatrix} \overline{p} & \overline{q} & \overline{s} \end{bmatrix}}\], then the values of m, n, t respectively are....
