Download App

Model Paper 5 — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsModel Paper 51 Mark
MCQ
If $\vec{a}, \vec{b}$ and $(\vec{a}+\vec{b})$ are all unit vectors and $\theta$ is the angle between $\vec{a}$ and $\vec{b}$, then the value of $\theta$ is:
  • ✓
    $\frac{2 \pi}{3}$
  • B
    $\frac{\pi}{3}$
  • C
    $\frac{5 \pi}{6}$
  • D
    $\frac{\pi}{6}$
✓

Answer

Correct option: A.
$\frac{2 \pi}{3}$
(a) $\frac{2 \pi}{3}$
Explanation: $\frac{2 \pi}{3}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Model Paper 5→Model Paper 5 — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Let $g(x) = 1 + x - [x]$ and $f(x) = \left\{ \begin{array}{l} - 1,\;x < 0\\0,\;\;x = 0,\;\\{\rm{1,}}\;\;\;{\rm{x}} > {\rm{0}}\end{array} \right.$then for all $x,\;f(g(x))$ is equal to
→
The d.rs of the lines x = ay + b, z = cy + d are:
→
Let $f(x) = [2x^3 -5];$ then number of points in $(1, 2)$ where the function is discontinuous are where $[\,.]\, \to G.I.F$
→
A boy tosses fair coin 3 times. If he gets $₹ 2 X$ for $X$ heads, then his expected gain (in ₹) equals to
→
$\int\limits^{\frac{\pi}{2}}_0\text{x}\sin\text{x dx}$ is equal to:
→
$\int\frac{10\text{x}^9+10^\text{x}\log_\text{e}10}{10^\text{x}+\text{x}^{10}}\text{dx}$ is equal to:
→
If $\text{f}(\text{x})=\text{e}^{\text{x}}\sin\text{x}$ in $[0,\pi],$ then c in Rolle's theorem is:
→
Find the area of bounded by $\text{y}=\sin\text{x}$ from $\text{x}=\frac{\pi}{4}$ to $\text{x}=\frac{\pi}{2}:$
→
The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2, 6, 2) is equal to:
→
On the intervl $ (1,3)$, the function $f(x) = 3x + {2 \over x}$ is
→